Explanation:
Hello!
Point-slope form is this: y - y_{1} = m(x - x_{1})y−y
1
=m(x−x
1
) . In this form, m is the slope, x_{1}x
1
and y_{1}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} }
x
2
−x
1
y
2
−y
1
. We can assign the point (-9, 6) to x_{1}x
1
and y_{1}y
1
and (-7, -8) to x_{2}x
2
and y_{2}y
2
.
Now, we can substitute the ordered pairs into the formula and solve.
m = \frac{-8 - 6}{-7 - (-9)} = \frac{-14}{2} = -7m=
−7−(−9)
−8−6
=
2
−14
=−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).