Which of these is a point slope equation of the line that is perpendicular to y - 8 = 3(x -10) and passes through -2, 7 a. y - 7 = -1/3 (x+2) b. y - 7 = -3 (x+2) c. y+7=-1/3(x-2) d. y+7=3(x-2)

OPTION A

Step-by-step explanation:

The form of point slope equation of the line is:

Where m is the slope and () is a poing of the line.

The line given is:

So the slope of this line is m=3

By definition, if two lines are perpendicular to each other, then theis slopes are opposite reciprocals. Therefore the slope of the other line must be:

Substituting the slope and the points given into the formula, you obtain that the line is:

A

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 - 8 = 3(x - 10) is in this form

with slope m = 3

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

= - = -

the line passes through (a, b) = (- 2, 7), hence

y - 7 = - (x - (- 2)), that is

y - 7 = - (x + 2) → A

560

step-by-step explanation:

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