Web Analytics

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

What is an equation of the line that passes through the point (-7, -1) and is parallel to the line x + y = 5?

What is an equation of the line that passes through the point (-7, -1) and is parallel to the line x + y = 5?

Answer

The equation of a line parallel to x + y = 5 will have the same slope. The slope of x + y = 5 is -1 (since it can be rewritten as y = -x + 5). Using the point-slope form y - y₁ = m(x - x₁) with the point (-7, -1) and slope -1, we get:

y + 1 = -1(x + 7)

y + 1 = -x - 7

y = -x - 8

Thus, the equation of the line is y = -x - 8.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions