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Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to

the line represented by
- 7x + 2y = 14?

Which equation in point-slope form describes the line that passes through the point-example-1
User Lonny
by
8.8k points

2 Answers

12 votes

D

Explanation:

User ElectroBit
by
9.0k points
7 votes

9514 1404 393

Answer:

D y +5 = -2/7(x -4)

Explanation:

The point-slope form is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

You're given (h, k) = (4, -5), so the equation will be of the form ...

y +5 = m(x -4) . . . . for some slope m

This form eliminates the first two choices.

__

The slope of the given line is the coefficient of x when solved for y:

2y = 7x +14

y = 7/2x +7 . . . . slope is 7/2

The perpendicular line will have a slope that is the opposite reciprocal of this, ...

-2/7 . . . . slope of perpendicular line

This is the slope shown in choice D:

y +5 = -2/7(x -4)

User Jasonrhaas
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