Question

Write the equation of the line that passes through the points (7,-6) and (0,2). Put

Answer 1

Answer:

$y+6=\frac{-8}{7} (x-7)$

Step-by-step explanation:

To find the slope of the equation use $\frac{y_2-y_1}{x_2-x_1}$.

So, $\frac{-6-2}{7-0}$ = $\frac{-8}{7}$. Now we can use our slope and any of the two points to write in point-slope form, which is $y-y_1=m(x-x_1)$. Using the point (7,-6), the formula will give $y+6=\frac{-8}{7} (x-7)$.

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.