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2 years ago

Find the equation of a line perpendicular to −x+y=−6 that contains the point (−4,5). Write the equation in slope-intercept form.

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

4 0

Answer:

y = -x + 1

Step-by-step explanation:

First, simplify -x+y=-6 to y = x - 6

Being perpendicular, then the x needs to be "flipped", making the slope y = -x

In order to have the slope go through (-4, 5), the line needs to intercept the y-axis at 1

Thus, the equation is

y = -x + 1

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