Free Printable 3.6 Equations of Lines

1.

What is the slope of the given points?

(9,−4),(4,−6)

(a)

2.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope=-\frac{2}{3}

y-intercept=5

a)

$y=\frac{2}{3}x+5$

b)

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

c)

$y=-\frac{2}{3}x+5$

d)

$y=-x+5$

3.

What is the slope of the given points?

(-15, -6), (-18, -19)

(a)

4.

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope\ =4

y-intercept\ =3

a)

$y=4x-3$

b)

$y=3x+4$

c)

$y=-3x+4$

d)

$y=-4x-3$

5.

Write the point-slope form of the equation of the line through the given point with the given slope. $through:(-5,3)$

slope=-\frac{3}{5}

a)

$y-3=-\frac{3}{5}\left(x+5\right)$

b)

$y-3=4\left(x-5\right)$

c)

$y-5=\frac{3}{5}\left(x-3\right)$

d)

$y-3=-4\left(x+5\right)$

6.

Write the point-slope form of the equation of the line through the given point with the given slope.

through\ \left(1,5\right)\ \ \ \ slope\ =\ 9

a)

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

b)

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

c)

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

d)

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

7.

Write the point-slope form of the equation of the line through the given point with the given slope.

through:\ \left(5,-1\right)\ \ \ \ \ slope\ =\frac{2}{5}

a)

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

b)

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

c)

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

d)

$y+1=x-5$

8.

Write the slope-intercept form of the equation of the line through the given points.

(-3,4) and (5,1)

HINT: Calculate Slope. Write in Point-Slope Form. Convert.

a)

$y=-\frac{23}{8}x+\frac{3}{8}$

b)

$y=-\frac{3}{8}x+\frac{23}{5}$

c)

$y=-\frac{1}{2}x-\frac{3}{8}$

d)

$y=-\frac{3}{8}x+\frac{23}{8}$

9.

Write the point-slope form of the equation of the line through the given point with the given slope.

through:\ \left(-5,4\right)\ \ \ \ \ slope\ =\frac{1}{5}

a)

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

b)

$y-5=-\frac{1}{15}\left(x+4\right)$

c)

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

d)

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

10.

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through:(-1,1),\ \ \ slope=-5

HINT: Write in point slope 1st

a)

$y=-5x-4$

b)

$y=-4x+5$

c)

$y=4x+5$

d)

$y=5x-4$

11.

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through:(-1,5),\ \ \ slope=-6

HINT: Write in point slope 1st

a)

$y=2x-1$

b)

$y=-x+2$

c)

$y=-6x-1$

d)

$y=x+2$

12.

Write the slope-intercept form of the equation of the line through the given points.

(-5,-1) and (3,-5)

HINT: Calculate Slope. Write in Point-Slope Form. Convert.

a)

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

b)

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

c)

$y=-\frac{1}{2}x+\frac{5}{2}$

d)

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

3.6 Equations of Lines

Total questions: 12

Worksheet time: 15mins

Similar Resources on Wayground