Question

Help plz! I don't understand this problem!

Write the slope-intercept form of the equation for each line.

Answer 1

Explanation:

First, let's find the slope of the line. Note that it passes through P1(-8, -1) and P2(0, -5). So the slope of this line is

`m = (y_2 - y_1)/(x_2 - x_1) = (-5 - (-1))/(0 - (-8))`

`\:\:\:\:\:= (-4)/(8) = -(1)/(2)`

The slope-intercept form of the equation can be written as

`y = mx + b = -(1)/(2)x + b`

To solve for b, we can use either P1 or P2. Let's use P2.

`-5 = -(1)/(2)(0) + b \Rightarrow b = -5`

Therefore, the slope-intercept form of the equation for the line is given by

`y = -(1)/(2)x - 5`