Question

What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.

Answer 1

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

• The slope of the line perpendicular will be m  -1/-1  = 1.

• Given the point (-1.5, 3.5)

Substitute the slope and the point into the point-slope form of the equation expressed as:

$y-y_1=m(x-x_1)$

$y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5$

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: brainly.com/question/19417700