Which of the following lines is parallel to y = − 2 5 x + 4 y=-\frac{2}{5}x+4 y = − 5 2 x + 4 ?

y = − 2 5 x − 6 y=-\frac{2}{5}x-6 y = − 5 2 x − 6

y = 2 5 x − 2 y=\frac{2}{5}x-2 y = 5 2 x − 2

y = 5 2 x + 5 y=\frac{5}{2}x+5 y = 2 5 x + 5

y = − 5 2 x − 7 y=-\frac{5}{2}x-7 y = − 2 5 x − 7

Which of the following lines is parallel to y = 4 x − 1 y=4x-1 y = 4 x − 1 ?

y = 4 x − 2 y=4x-2 y = 4 x − 2

y = − 1 4 x + 5 y=-\frac{1}{4}x+5 y = − 4 1 x + 5

y = − 4 x − 6 y=-4x-6 y = − 4 x − 6

y = 1 4 x − 7 y=\frac{1}{4}x-7 y = 4 1 x − 7

Which of the following lines is parallel to y = − 7 x + 3 y=-7x+3 y = − 7 x + 3 ?

y = − 7 x − 2 y=-7x-2 y = − 7 x − 2

y = 1 7 x − 5 y=\frac{1}{7}x-5 y = 7 1 x − 5

y = − 1 7 x + 1 y=-\frac{1}{7}x+1 y = − 7 1 x + 1

Which of the following lines is parallel to y = 3 4 x − 8 y=\frac{3}{4}x-8 y = 4 3 x − 8 ?

y = 3 4 x + 1 y=\frac{3}{4}x+1 y = 4 3 x + 1

y = 4 3 x − 5 y=\frac{4}{3}x-5 y = 3 4 x − 5

y = − 3 4 x + 9 y=-\frac{3}{4}x+9 y = − 4 3 x + 9

y = − 4 3 x − 2 y=-\frac{4}{3}x-2 y = − 3 4 x − 2

Which of the following lines is perpendicular to y = 1 2 x − 1 y=\frac{1}{2}x-1 y = 2 1 x − 1 ?

y = − 2 x + 1 y=-2x+1 y = − 2 x + 1

y = 2 x − 5 y=2x-5 y = 2 x − 5

y = − 1 2 x + 7 y=-\frac{1}{2}x+7 y = − 2 1 x + 7

y = 1 2 x − 2 y=\frac{1}{2}x-2 y = 2 1 x − 2

Which of the following lines is perpendicular to y = − 5 6 x + 13 y=-\frac{5}{6}x+13 y = − 6 5 x + 1 3 ?

y = 6 5 x − 6 y=\frac{6}{5}x-6 y = 5 6 x − 6

y = − 6 5 x + 10 y=-\frac{6}{5}x+10 y = − 5 6 x + 1 0

y = − 5 6 x − 1 y=-\frac{5}{6}x-1 y = − 6 5 x − 1

y = 5 6 x + 9 y=\frac{5}{6}x+9 y = 6 5 x + 9

Which of the following lines is perpendicular to y = 7 x + 11 y=7x+11 y = 7 x + 1 1 ?

y = − 1 7 x + 9 y=-\frac{1}{7}x+9 y = − 7 1 x + 9

y = − 7 x + 10 y=-7x+10 y = − 7 x + 1 0

y = 1 7 x − 1 y=\frac{1}{7}x-1 y = 7 1 x − 1

y = 7 x − 6 y=7x-6 y = 7 x − 6

Write the point-slope equation of the line that has a slope of -\frac{1}{2} − 2 1 and goes through the ordered pair ( − 3 , 4 ) \left(-3,4\right) ( − 3 , 4 ) .

y − 4 = − 1 2 ( x + 3 ) y-4=-\frac{1}{2}\left(x+3\right) y − 4 = − 2 1 ( x + 3 )

y + 4 = − 1 2 ( x − 3 ) y+4=-\frac{1}{2}\left(x-3\right) y + 4 = − 2 1 ( x − 3 )

y + 3 = − 1 2 ( x − 4 ) y+3=-\frac{1}{2}\left(x-4\right) y + 3 = − 2 1 ( x − 4 )

y − 3 = − 1 2 ( x + 4 ) y-3=-\frac{1}{2}\left(x+4\right) y − 3 = − 2 1 ( x + 4 )

Write the point-slope equation of the line that has a slope of 5 5 5 and goes through the ordered pair ( − 1 , 9 ) \left(-1,9\right) ( − 1 , 9 ) .

y − 9 = 5 ( x + 1 ) y-9=5\left(x+1\right) y − 9 = 5 ( x + 1 )

y + 1 = 5 ( x − 9 ) y+1=5\left(x-9\right) y + 1 = 5 ( x − 9 )

y − 1 = 5 ( x + 9 ) y-1=5\left(x+9\right) y − 1 = 5 ( x + 9 )

y + 9 = 5 ( x − 1 ) y+9=5\left(x-1\right) y + 9 = 5 ( x − 1 )

Write the point-slope equation of the line that has a slope of 3 4 \frac{3}{4} 4 3 and goes through the ordered pair ( 5 , − 2 ) \left(5,-2\right) ( 5 , − 2 ) .

y+2=\frac{3}{4}\left(x-5\right) y + 2 = 4 3 ( x − 5 )

y + 5 = 3 4 ( x − 2 ) y+5=\frac{3}{4}\left(x-2\right) y + 5 = 4 3 ( x − 2 )

y − 5 = 3 4 ( x + 2 ) y-5=\frac{3}{4}\left(x+2\right) y − 5 = 4 3 ( x + 2 )

y − 2 = 3 4 ( x + 5 ) y-2=\frac{3}{4}\left(x+5\right) y − 2 = 4 3 ( x + 5 )

Write the point-slope equation of the line that has a slope of − 8 -8 − 8 and goes through the ordered pair ( 10 , − 3 ) \left(10,-3\right) ( 1 0 , − 3 ) .

y + 3 = − 8 ( x − 10 ) y+3=-8\left(x-10\right) y + 3 = − 8 ( x − 1 0 )

y + 10 = − 8 ( x − 3 ) y+10=-8\left(x-3\right) y + 1 0 = − 8 ( x − 3 )

y − 3 = − 8 ( x + 10 ) y-3=-8\left(x+10\right) y − 3 = − 8 ( x + 1 0 )

y − 10 = − 8 ( x + 3 ) y-10=-8\left(x+3\right) y − 1 0 = − 8 ( x + 3 )

Which of the following is an equation of a line parallel to y=\frac{5}{7}x-3 y = 7 5 x − 3 and goes through the point ( − 2 , 3 ) \left(-2,3\right) ( − 2 , 3 ) .

y − 3 = 5 7 ( x + 2 ) y-3=\frac{5}{7}\left(x+2\right) y − 3 = 7 5 ( x + 2 )

y − 3 = − 7 5 ( x + 2 ) y-3=-\frac{7}{5}\left(x+2\right) y − 3 = − 5 7 ( x + 2 )

y + 3 = 5 7 ( x − 2 ) y+3=\frac{5}{7}\left(x-2\right) y + 3 = 7 5 ( x − 2 )

y − 2 = − 7 5 ( x + 3 ) y-2=-\frac{7}{5}\left(x+3\right) y − 2 = − 5 7 ( x + 3 )

Which of the following is an equation of a line parallel to y = − 2 x + 1 y=-2x+1 y = − 2 x + 1 and goes through the point ( 3 , 4 ) \left(3,4\right) ( 3 , 4 ) .

y − 4 = − 2 ( x − 3 ) y-4=-2\left(x-3\right) y − 4 = − 2 ( x − 3 )

y + 3 = − 2 ( x + 4 ) y+3=-2\left(x+4\right) y + 3 = − 2 ( x + 4 )

y − 4 = 1 2 ( x − 3 ) y-4=\frac{1}{2}\left(x-3\right) y − 4 = 2 1 ( x − 3 )

y + 3 = 1 2 ( x + 4 ) y+3=\frac{1}{2}\left(x+4\right) y + 3 = 2 1 ( x + 4 )

Which of the following is an equation of a line parallel to y = 9 x − 10 y=9x-10 y = 9 x − 1 0 and goes through the point ( − 4 , 7 ) \left(-4,7\right) ( − 4 , 7 ) .

y − 7 = 9 ( x + 4 ) y-7=9\left(x+4\right) y − 7 = 9 ( x + 4 )

y + 4 = − 1 9 ( x − 7 ) y+4=-\frac{1}{9}\left(x-7\right) y + 4 = − 9 1 ( x − 7 )

y − 4 = 9 ( x + 7 ) y-4=9\left(x+7\right) y − 4 = 9 ( x + 7 )

y − 7 = − 1 9 ( x + 4 ) y-7=-\frac{1}{9}\left(x+4\right) y − 7 = − 9 1 ( x + 4 )

Which of the following is an equation of a line parallel to y = − 3 4 x + 5 y=-\frac{3}{4}x+5 y = − 4 3 x + 5 and goes through the point ( − 1 , − 2 ) \left(-1,-2\right) ( − 1 , − 2 ) .

y + 2 = − 3 4 ( x + 1 ) y+2=-\frac{3}{4}\left(x+1\right) y + 2 = − 4 3 ( x + 1 )

y + 2 = 4 3 ( x + 1 ) y+2=\frac{4}{3}\left(x+1\right) y + 2 = 3 4 ( x + 1 )

y + 1 = − 3 4 ( x + 2 ) y+1=-\frac{3}{4}\left(x+2\right) y + 1 = − 4 3 ( x + 2 )

y − 1 = 4 3 ( x − 2 ) y-1=\frac{4}{3}\left(x-2\right) y − 1 = 3 4 ( x − 2 )

Which of the following is an equation of a line perpendicular to y = 4 5 x − 1 y=\frac{4}{5}x-1 y = 5 4 x − 1 and goes through the point ( − 1 , − 2 ) \left(-1,-2\right) ( − 1 , − 2 ) .

y + 2 = − 5 4 ( x + 1 ) y+2=-\frac{5}{4}\left(x+1\right) y + 2 = − 4 5 ( x + 1 )

y + 2 = 5 4 ( x + 1 ) y+2=\frac{5}{4}\left(x+1\right) y + 2 = 4 5 ( x + 1 )

y + 1 = 4 5 ( x + 2 ) y+1=\frac{4}{5}\left(x+2\right) y + 1 = 5 4 ( x + 2 )

y − 1 = − 4 5 ( x − 2 ) y-1=-\frac{4}{5}\left(x-2\right) y − 1 = − 5 4 ( x − 2 )

Which of the following is an equation of a line perpendicular to y = − 2 x + 5 y=-2x+5 y = − 2 x + 5 and goes through the point ( − 3 , 8 ) \left(-3,8\right) ( − 3 , 8 ) .

y − 8 = 1 2 ( x + 3 ) y-8=\frac{1}{2}\left(x+3\right) y − 8 = 2 1 ( x + 3 )

y − 8 = − 2 ( x + 3 ) y-8=-2\left(x+3\right) y − 8 = − 2 ( x + 3 )

y + 3 = − 1 2 ( x − 8 ) y+3=-\frac{1}{2}\left(x-8\right) y + 3 = − 2 1 ( x − 8 )

y − 3 = 1 2 ( x + 8 ) y-3=\frac{1}{2}\left(x+8\right) y − 3 = 2 1 ( x + 8 )

Which of the following is an equation of a line perpendicular to y = − 9 5 x + 3 y=-\frac{9}{5}x+3 y = − 5 9 x + 3 and goes through the point ( 1 , − 5 ) \left(1,-5\right) ( 1 , − 5 ) .

y + 5 = 5 9 ( x − 1 ) y+5=\frac{5}{9}\left(x-1\right) y + 5 = 9 5 ( x − 1 )

y + 5 = − 9 5 ( x − 1 ) y+5=-\frac{9}{5}\left(x-1\right) y + 5 = − 5 9 ( x − 1 )

y + 1 = 5 9 ( x − 5 ) y+1=\frac{5}{9}\left(x-5\right) y + 1 = 9 5 ( x − 5 )

y − 1 = − 9 5 ( x + 5 ) y-1=-\frac{9}{5}\left(x+5\right) y − 1 = − 5 9 ( x + 5 )

Which of the following is an equation of a line perpendicular to y = x + 3 y=x+3 y = x + 3 and goes through the point ( 1 , − 5 ) \left(1,-5\right) ( 1 , − 5 ) .

y + 5 = − ( x − 1 ) y+5=-\left(x-1\right) y + 5 = − ( x − 1 )

y + 5 = ( x − 1 ) y+5=\left(x-1\right) y + 5 = ( x − 1 )

y + 1 = ( x − 5 ) y+1=\left(x-5\right) y + 1 = ( x − 5 )

y − 1 = − ( x + 5 ) y-1=-\left(x+5\right) y − 1 = − ( x + 5 )

Writing Equations of Lines

Authored by Emily Sullivan

Mathematics

9th Grade

CCSS covered

Used 15+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is the slope equation?

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_1-y_2}{x_1-x_2}$

$m=\frac{x_2-x_1}{y_2-y_1}$

$m=\frac{x_1-x_2}{y_1-y_2}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is written in point-slope form?

$y=mx+b$

$y-y_1=m\left(x-x_1\right)$

$Ax+By=C$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is written in slope-intercept form?

$y=mx+b$

$y-y_1=m\left(x-x_1\right)$

$Ax+By=C$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is written in standard form?

$y=mx+b$

$y-y_1=m\left(x-x_1\right)$

$Ax+By=C$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is parallel to $y=-\frac{2}{5}x+4$ ?

$y=\frac{2}{5}x-2$

$y=\frac{5}{2}x+5$

$y=-\frac{2}{5}x-6$

$y=-\frac{5}{2}x-7$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is parallel to $y=4x-1$ ?

$y=4x-2$

$y=-\frac{1}{4}x+5$

$y=-4x-6$

$y=\frac{1}{4}x-7$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is parallel to $y=-7x+3$ ?

$y=\frac{1}{7}x-5$

$y=-\frac{1}{7}x+1$

$y=7x+9$

$y=-7x-2$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is parallel to $y=\frac{3}{4}x-8$ ?

$y=\frac{4}{3}x-5$

$y=\frac{3}{4}x+1$

$y=-\frac{3}{4}x+9$

$y=-\frac{4}{3}x-2$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is perpendicular to $y=\frac{1}{2}x-1$ ?

$y=2x-5$

$y=-2x+1$

$y=-\frac{1}{2}x+7$

$y=\frac{1}{2}x-2$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following lines is perpendicular to $y=-4x+2$ ?

$y=\frac{1}{4}x+10$

$y=-4x+1$

$y=4x+6$

$y=-\frac{1}{4}x-6$

Tags

CCSS.8.EE.B.6

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Writing Equations of Lines

Which of the following is the slope equation?

Which equation is written in point-slope form?

Which equation is written in slope-intercept form?

Which equation is written in standard form?

Which of the following lines is parallel to y=−25x+4y=-\frac{2}{5}x+4y=−52​x+4 ?

Which of the following lines is parallel to y=4x−1y=4x-1y=4x−1 ?

Which of the following lines is parallel to y=−7x+3y=-7x+3y=−7x+3 ?

Which of the following lines is parallel to y=34x−8y=\frac{3}{4}x-8y=43​x−8 ?

Which of the following lines is perpendicular to y=12x−1y=\frac{1}{2}x-1y=21​x−1 ?

Which of the following lines is perpendicular to y=−4x+2y=-4x+2y=−4x+2 ?

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Which of the following lines is parallel to $y=-\frac{2}{5}x+4$ ?

Which of the following lines is parallel to $y=4x-1$ ?

Which of the following lines is parallel to $y=-7x+3$ ?

Which of the following lines is parallel to $y=\frac{3}{4}x-8$ ?

Which of the following lines is perpendicular to $y=\frac{1}{2}x-1$ ?

Which of the following lines is perpendicular to $y=-4x+2$ ?