write the equation of the line in fully simplified slope - intercept form.\nanswer\nattempt 1 out of…

Explanation:

Step1: Find the slope (m)

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points on the line, say ((0,-8)) and ((2,-9)). Then (m=\frac{-9-(-8)}{2 - 0}=\frac{-9 + 8}{2}=-\frac{1}{2})

Step2: Find the (y) - intercept (b)

The (y) - intercept (b) is the (y) - value when (x = 0). From the point ((0,-8)), we have (b=-8)

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is (y=mx + b). Substituting (m =-\frac{1}{2}) and (b=-8), we get (y=-\frac{1}{2}x-8)

Answer:

(y =-\frac{1}{2}x - 8)