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

User Booberry
by
9.1k points

1 Answer

3 votes

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).

User Nick Khotenko
by
8.2k points

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