Question

What is an equation for the line parallel to y = −x + 2 going through the point (−3, −5)?

Answer 1

The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

Equation of a line

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

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

Substitute the slope and point (-3, -5)

y -(-5) = -1(x - (-3))

y+5 = -(x + 3)

y+5 =-x - 3

y = -x - 3 - 5

y = -x - 8

Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

Learn more on equation of a line here: brainly.com/question/18831322

#SPJ1