write the equation of this line in slope - intercept form.write your answer using integers, proper…

Explanation:

Step1: Find the slope (m)

The slope - intercept form is (y = mx + b), where (b) is the (y) - intercept. From the graph, (b = 2). Take two points ((x_1,y_1)=(- 4,0)) and ((x_2,y_2)=(0,2)) The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}) (m=\frac{2 - 0}{0-(-4)}=\frac{2}{4}=\frac{1}{2})

Step2: Write the equation

Substitute (m = \frac{1}{2}) and (b = 2) into (y=mx + b) (y=\frac{1}{2}x + 2)

Answer:

(y=\frac{1}{2}x + 2)