a line passes through the points (-3, -2) and (7, -2). write its equation in slope - intercept form. write…

Answer:

$y = - 2$

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,-2)$ and $(x_2,y_2)=(7,-2)$. Then $m=\frac{-2-(-2)}{7 - (-3)}=\frac{-2 + 2}{7+3}=\frac{0}{10}=0$.

Step2: Find the y - intercept

The slope - intercept form of a line is $y=mx + b$. We know $m = 0$ and we can use one of the points, say $(-3,-2)$. Substitute $x=-3$, $y = - 2$ and $m = 0$ into $y=mx + b$. We get $-2=0\times(-3)+b$, so $b=-2$.

Step3: Write the equation

Substitute $m = 0$ and $b=-2$ into $y=mx + b$, we obtain $y=0x-2$, which simplifies to $y=-2$.