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

Explanation:

Step1: Find two points on the line

From the graph, two points are ((-2,0)) and ((0,-7)).

Step2: Calculate the slope (m)

Use the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(-2,0)) and ((x_2,y_2)=(0,-7)). Then (m=\frac{-7 - 0}{0-(-2)}=\frac{-7}{2}).

Step3: Identify the (y)-intercept (b)

The line crosses the (y)-axis at ((0,-7)), so (b = - 7).

Step4: Write the equation in slope - intercept form (y=mx + b)

Substitute (m =-\frac{7}{2}) and (b=-7) into the formula. So (y=-\frac{7}{2}x-7).

Answer:

(y =-\frac{7}{2}x - 7)