Question

Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8). 1. Use slope formula to find slope: 2. Substitute one point and slope into slope-intercept form to find the y-intercept: What is the equation of the line in slope-intercept form? y = –10x – 2 y = –1x – 8 –8 = –2x – 1 y = –2x – 10

Answer 1

Answer:

y = -2x - 10

Step-by-step explanation:

The formula of a slope:

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

We have two points (-5, 0) and (-1, -8). Substitute:

$m=\dfrac{-8-0}{-1-(-5)}=\dfrac{-8}{4}=-2$

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercpet

Put the value of the slope and coordinates of the point (-5, 0) to the equation of a line:

$0=-2(-5)+b$

$0=10+b$        subtract 10 from both sides

$-10=b\to b=-10$

Finally:

$y=-2x-10$

Answer 2

Answer:

The answer is y = -2x - 10

Step-by-step explanation: