write the equation of the line that passes through the points (7, -7) and (3, 8). put your answer in fully…

write the equation of the line that passes through the points (7, -7) 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 (7, -7) 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 formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(7,-7)$ and $(x_2,y_2)=(3,8)$. $m=\frac{8-(-7)}{3 - 7}=\frac{8 + 7}{-4}=\frac{15}{-4}=-\frac{15}{4}$

Step2: Use the point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. We can use either of the two points. Let's use the point $(3,8)$. $y - 8=-\frac{15}{4}(x - 3)$

Answer:

$y - 8=-\frac{15}{4}(x - 3)$