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Sagot :

Answer:

y = 4x - 3

Step-by-step explanation:

When we re-write the given equation into its slope-intercept form, it will like this:

y = (-1/4)x - 6

This line has a slope equal to -1/4 so the slope of the required line has a slope of +4 (perpendicular to the given line). Use this new slope and the given point P0(-1, -7) into this equation:

y - y0 = m(x - x0) ---> y + 7 = 4(x + 1)

Rearranging the terms into its slope-intercept form, we get

y = 4x - 3