a line passes through the points (-9, -5) and (1, -5). write its equation in slope - intercept form. write…

Explanation:

Step1: Calculate the slope

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(-9,-5)) and ((x_2,y_2)=(1,-5)). [ \begin{align*} m&=\frac{-5-(-5)}{1-(-9)}\ &=\frac{-5 + 5}{1 + 9}\ &=\frac{0}{10}\ &=0 \end{align*} ]

Step2: Use the slope - intercept form (y=mx + b)

Substitute (m = 0) and ((x,y)=(1,-5)) into (y=mx + b). [ \begin{align*} -5&=0\times1+b\ b&=-5 \end{align*} ]

Step3: Write the equation

Substitute (m = 0) and (b=-5) into (y=mx + b). The equation is (y=0x-5), which simplifies to (y=-5).

Answer:

(y=-5)