a line passes through the points (-6, 4) and (4, 4). write its equation in slope - intercept form. write…

Answer:

$y = 4$

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-6,4)$ and $(x_2,y_2)=(4,4)$. Then $m=\frac{4 - 4}{4-(-6)}=\frac{0}{10}=0$.

Step2: Find the y - intercept

The slope - intercept form of a line is $y=mx + b$. Substitute $m = 0$ and one of the points, say $(4,4)$, into the equation: $4=0\times4 + b$. So $b = 4$.

Step3: Write the equation

Substitute $m = 0$ and $b = 4$ into $y=mx + b$, we get $y=0x + 4$, which simplifies to $y = 4$.