Mathematics

Question

Write an equation in slope-intercept form for the line that is parallel to the line y = -4x + 5 and that passes through the given point (-8,5). Show your work.

1 Answer

  • since we know the slope intercept form is y=mx+b and that parallel lines have the same slope we know that the slope in our equation is going to be -4
    we can plug in the point (-8,5) into y= -4x+b
    in doing that we get 5= -4(-8)+b.
    5=-4(-8)+b
    5=32+b
    subtract 32 from both sides to find b the (y-intercept)
    5-32=-27
    b=-27
    bc the slope is -4 and the y-intercept is -27 the equation of the line that's parallel to y=-4x+5 and passes through the given point (-8,5) is y=-4x-27
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