Question

Express it in slope-intercept form.

Answer 1

Hey there! :)

Answer:

y = 1/4x - 3.

Explanation:

Use the slope-formula to find the slope of the line:

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

`m = (-3 - (-4))/(0 - (-4))`

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.