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mihalych1998 [28]
2 years ago
5

Which of these is a point-slope equation of the line that is perpendicular to

Mathematics
1 answer:
stellarik [79]2 years ago
5 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x - 10) ← is in point- slope form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{4}

The perpendicular line passes through (- 3, 7), hence

y - 7 = - \frac{1}{4}(x - (- 3)), that is

y - 7 = - \frac{1}{4}(x + 3) → D

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