write the equation of the line that passes through the points (-3, -4) and (7, -2). put your answer in fully…

write the equation of the line that passes through the points (-3, -4) and (7, -2). 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 (-3, -4) and (7, -2). 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 $m$ of a line passing through two points $(x_1,y_1)=(-3,-4)$ and $(x_2,y_2)=(7,-2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. $m=\frac{-2-(-4)}{7 - (-3)}=\frac{-2 + 4}{7+3}=\frac{2}{10}=\frac{1}{5}$

Step2: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(-3,-4)$ and $m = \frac{1}{5}$, we substitute these values into the formula. $y-(-4)=\frac{1}{5}(x - (-3))$ $y + 4=\frac{1}{5}(x + 3)$

Answer:

$y + 4=\frac{1}{5}(x + 3)$