Question

Complete the point slope equation of the line through (-9,6) and (-7,-8) use exact numbers

Answer 1

Hello!

Point-slope form is this: $y - y_{1} = m(x - x_{1})$. In this form, m is the slope,  $x_{1}$ and $y_{1}$ is an ordered pair, or point.

To find the slope, we need to use the slope formula. The slope formula is: $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$. We can assign the point (-9, 6) to $x_{1}$ and $y_{1}$ and (-7, -8) to $x_{2}$ and $y_{2}$.

Now, we can substitute the ordered pairs into the formula and solve.

$m = \frac{-8 - 6}{-7 - (-9)} = \frac{-14}{2} = -7$

Since the slope is equal to -7, we can substitute the slope and a point into the point-slope form.

Therefore, your point-slope formula is y - 6 + -7(x + 9) or y + 8 = -7(x + 7).