Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line.
1
Perpendicular to the line y = -x +4; containing the point (1, -2)

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vintechnology vintechnology · Answer 1 · 2022-01-24T14:34:28+01:00

The equation for the line in slope-intercept form that is Perpendicular to the line y = -x +4; containing the point (1, -2) is y = x - 3

The slope intercept equation can be represented as follows:

where

m = slope

b = y-intercept

The equation of the line is perpendicular to the line y = -x + 4.

For equations of a line to be perpendicular to each other, the product of their slope is equals to -1.

Therefore,

m₁m₂ = -1 (perpendicular)

-m₂ = -1

m₂ = 1

This means the equation we are looking for has a slope of 1.

Therefore,

y = x + b

let's find b using (1, -2)

-2 = 1 + b

b = -2 - 1

b = -3

The equation is as follows:

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