What is the formula for finding slope of the line containing ( x 1 , y 1 ) a n d ( x 2 , y 2 ) \left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right) ( x 1 , y 1 ) a n d ( x 2 , y 2 ) ?

m = y 2 − y 1 x 2 − x 1 m=\frac{y_2-y_1}{x_2-x_1} m = x 2 − x 1 y 2 − y 1

m = x 2 − x 1 y 2 − y 1 m=\frac{x_2-x_1}{y_2-y_1} m = y 2 − y 1 x 2 − x 1

m = y 2 − y 1 x 1 − x 2 m=\frac{y_2-y_1}{x_1-x_2} m = x 1 − x 2 y 2 − y 1

m = y 1 − y 2 x 2 − x 1 m=\frac{y_1-y_2}{x_2-x_1} m = x 2 − x 1 y 1 − y 2

Find the slope of the line that contains the given points: ( 3 , − 8 ) a n d ( 4 , 11 ) \left(3,-8\right)\ and\ \left(4,11\right) ( 3 , − 8 ) a n d ( 4 , 1 1 )

− 1 19 -\frac{1}{19} − 1 9 1

Find the slope of the line that contains the given points: ( 9 , 4 ) a n d ( − 2 , − 2 ) \left(9,4\right)\ and\ \left(-2,-2\right) ( 9 , 4 ) a n d ( − 2 , − 2 )

− 6 11 -\frac{6}{11} − 1 1 6

− 11 6 -\frac{11}{6} − 6 1 1

Find the equation of a line in Point-Slope Form that has the given properties: m = − 1 2 t h r o u g h ( − 5 , 6 ) m=-\frac{1}{2}\ through\ \left(-5,6\right) m = − 2 1 t h r o u g h ( − 5 , 6 )

y − 6 = − 1 2 ( x + 5 ) y-6=-\frac{1}{2}\left(x+5\right) y − 6 = − 2 1 ( x + 5 )

y + 6 = − 1 2 ( x − 5 ) y+6=-\frac{1}{2}\left(x-5\right) y + 6 = − 2 1 ( x − 5 )

y + 5 = − 1 2 ( x − 6 ) y+5=-\frac{1}{2}\left(x-6\right) y + 5 = − 2 1 ( x − 6 )

Find the equation of a line in Point-Slope Form that has the given properties: m = 3 4 t h r o u g h ( − 2 , − 4 ) m=\frac{3}{4}\ through\ \left(-2,-4\right) m = 4 3 t h r o u g h ( − 2 , − 4 )

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

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

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

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

Find the equation of a line in Point-Slope Form that has the given properties: m = − 5 t h r o u g h ( 2 , 15 ) m=-5\ through\ \left(2,15\right) m = − 5 t h r o u g h ( 2 , 1 5 )

y − 15 = − 5 ( x − 2 ) y-15=-5\left(x-2\right) y − 1 5 = − 5 ( x − 2 )

y + 15 = − 5 ( x + 2 ) y+15=-5\left(x+2\right) y + 1 5 = − 5 ( x + 2 )

y − 2 = − 5 ( x − 15 ) y-2=-5\left(x-15\right) y − 2 = − 5 ( x − 1 5 )

y + 2 = − 5 ( x + 15 ) y+2=-5\left(x+15\right) y + 2 = − 5 ( x + 1 5 )

Find the equation of a line in Point-Slope Form that has the given properties: m = 12 t h r o u g h ( 5 , − 8 ) m=12\ through\ \left(5,-8\right) m = 1 2 t h r o u g h ( 5 , − 8 )

y + 8 = 12 ( x − 5 ) y+8=12\left(x-5\right) y + 8 = 1 2 ( x − 5 )

y − 8 = 12 ( x + 5 ) y-8=12\left(x+5\right) y − 8 = 1 2 ( x + 5 )

y + 5 = 12 ( x − 8 ) y+5=12\left(x-8\right) y + 5 = 1 2 ( x − 8 )

y − 5 = 12 ( x + 8 ) y-5=12\left(x+8\right) y − 5 = 1 2 ( x + 8 )

Find the equation of the line that contains the following conditions, in SLOPE-INTERCEPT Form: m = 3 t h r o u g h ( 2 , − 5 ) m=3\ through\ \left(2,-5\right) m = 3 t h r o u g h ( 2 , − 5 )

y = 3 x − 11 y=3x-11 y = 3 x − 1 1

y + 5 = 3 ( x − 2 ) y+5=3\left(x-2\right) y + 5 = 3 ( x − 2 )

y = 3 x − 1 y=3x-1 y = 3 x − 1

y = 3 x + 14 y=3x+14 y = 3 x + 1 4

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form: m = 1 2 t h r o u g h ( 8 , − 1 ) m=\frac{1}{2}\ through\ \left(8,-1\right) m = 2 1 t h r o u g h ( 8 , − 1 )

y = 1 2 x − 5 y=\frac{1}{2}x-5 y = 2 1 x − 5

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

y = 1 2 x − 3 y=\frac{1}{2}x-3 y = 2 1 x − 3

y = 1 2 x + 4 y=\frac{1}{2}x+4 y = 2 1 x + 4

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form: m = 5 t h r o u g h ( 5 , 3 ) m=5\ through\ \left(5,3\right) m = 5 t h r o u g h ( 5 , 3 )

y = 5 x − 22 y=5x-22 y = 5 x − 2 2

y = 5 x − 28 y=5x-28 y = 5 x − 2 8

y = 5 x + 22 y=5x+22 y = 5 x + 2 2

y − 3 = 5 ( x − 5 ) y-3=5\left(x-5\right) y − 3 = 5 ( x − 5 )

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form: ( 2 , − 1 ) a n d ( 4 , − 7 ) \left(2,-1\right)\ and\ \left(4,-7\right) ( 2 , − 1 ) a n d ( 4 , − 7 )

y = − 3 x + 5 y=-3x+5 y = − 3 x + 5

y = − 3 x + 7 y=-3x+7 y = − 3 x + 7

y = − 1 3 x − 1 3 y=-\frac{1}{3}x-\frac{1}{3} y = − 3 1 x − 3 1

y = 3 x − 7 y=3x-7 y = 3 x − 7

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form: ( 3 , − 9 ) a n d ( 6 , 6 ) \left(3,-9\right)\ and\ \left(6,6\right) ( 3 , − 9 ) a n d ( 6 , 6 )

y = 5 x − 24 y=5x-24 y = 5 x − 2 4

y = 5 x − 36 y=5x-36 y = 5 x − 3 6

y = 1 5 x + 24 5 y=\frac{1}{5}x+\frac{24}{5} y = 5 1 x + 5 2 4

y = − 5 x + 24 y=-5x+24 y = − 5 x + 2 4

Linear Functions

Authored by Adam Hosler

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the formula for finding slope of the line containing $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$ ?

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

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

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

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

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which is the Slope-Intercept Form, given m and the point (0, b)?

$y=mx+b$

$y-d=m\left(x-c\right)$

$Ax+By=C$

$y=mx-b$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is the Point-Slope Form given the point (c, d) and the slope m?

$y-d=m\left(x-c\right)$

$y=mx+b$

$y=mx-b$

$Ax+By=C$

Tags

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the line that contains the given points:

$\left(2,-3\right)\ and\ \left(5,-1\right)$

$\frac{2}{3}$

$\frac{3}{2}$

$-\frac{2}{3}$

$-\frac{3}{2}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the line that contains the given points:

$\left(3,-8\right)\ and\ \left(4,11\right)$

$19$

$-19$

$\frac{1}{19}$

$-\frac{1}{19}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the line that contains the given points:

$\left(9,4\right)\ and\ \left(-2,-2\right)$

$\frac{6}{11}$

$\frac{11}{6}$

$-\frac{6}{11}$

$-\frac{11}{6}$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the line that contains the given points:

$\left(3,-9\right)\ and\ \left(3,11\right)$

$0$

Undefined

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the line that contains the given points:

$\left(4,12\right)\ and\ \left(-4,12\right)$

undefined

$0$

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the equation of a line in Point-Slope Form that has the given properties:

$m=2\ through\ \left(3,-1\right)$

$y+1=2\left(x-3\right)$

$y-1=2\left(x+3\right)$

$y+3=2\left(x-1\right)$

$y-3=2\left(x+1\right)$

Tags

CCSS.HSG.GPE.B.5

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the equation of a line in Point-Slope Form that has the given properties:

$m=-\frac{1}{2}\ through\ \left(-5,6\right)$

$y-6=-\frac{1}{2}\left(x+5\right)$

$y+6=-\frac{1}{2}\left(x-5\right)$

$y+5=-\frac{1}{2}\left(x-6\right)$

Tags

CCSS.HSA.CED.A.1

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Linear Functions

What is the formula for finding slope of the line containing (x1, y1) and (x2, y2)\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)(x1​, y1​) and (x2​, y2​) ?

Which is the Slope-Intercept Form, given m and the point (0, b)?

Which of the following is the Point-Slope Form given the point (c, d) and the slope m?

Find the slope of the line that contains the given points: (2,−3) and (5,−1)\left(2,-3\right)\ and\ \left(5,-1\right)(2,−3) and (5,−1)

Find the slope of the line that contains the given points: (3,−8) and (4,11)\left(3,-8\right)\ and\ \left(4,11\right)(3,−8) and (4,11)

Find the slope of the line that contains the given points: (9,4) and (−2,−2)\left(9,4\right)\ and\ \left(-2,-2\right)(9,4) and (−2,−2)

Find the slope of the line that contains the given points: (3,−9) and (3,11)\left(3,-9\right)\ and\ \left(3,11\right)(3,−9) and (3,11)

Find the slope of the line that contains the given points: (4,12) and (−4,12)\left(4,12\right)\ and\ \left(-4,12\right)(4,12) and (−4,12)

Find the equation of a line in Point-Slope Form that has the given properties: m=2 through (3,−1)m=2\ through\ \left(3,-1\right)m=2 through (3,−1)

Find the equation of a line in Point-Slope Form that has the given properties: m=−12 through (−5,6)m=-\frac{1}{2}\ through\ \left(-5,6\right)m=−21​ through (−5,6)

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Discover more resources for Mathematics

What is the formula for finding slope of the line containing $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$ ?

Find the slope of the line that contains the given points:

$\left(2,-3\right)\ and\ \left(5,-1\right)$

Find the slope of the line that contains the given points:

$\left(3,-8\right)\ and\ \left(4,11\right)$

Find the slope of the line that contains the given points:

$\left(9,4\right)\ and\ \left(-2,-2\right)$

Find the slope of the line that contains the given points:

$\left(3,-9\right)\ and\ \left(3,11\right)$

Find the slope of the line that contains the given points:

$\left(4,12\right)\ and\ \left(-4,12\right)$

Find the equation of a line in Point-Slope Form that has the given properties:

$m=2\ through\ \left(3,-1\right)$

Find the equation of a line in Point-Slope Form that has the given properties:

$m=-\frac{1}{2}\ through\ \left(-5,6\right)$