write the equation of the line that passes through the points (-4, 4) and (3, 8). put your answer in fully…

write the equation of the line that passes through the points (-4, 4) and (3, 8). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

write the equation of the line that passes through the points (-4, 4) and (3, 8). put your answer in fully simplified point - slope form, unless it is a vertical or horizontal line.

Answer

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-4,4)$ and $(x_2,y_2)=(3,8)$. Then $m=\frac{8 - 4}{3-(-4)}=\frac{4}{7}$.

Step2: Use the point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(-4,4)$ and $m = \frac{4}{7}$, we get $y - 4=\frac{4}{7}(x+4)$.

Answer:

$y - 4=\frac{4}{7}(x + 4)$