Question

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)

Answer 1

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;

The slope intercept equation can be represented as follows:

• y = mx + b

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:

• y = x - 3

learn more on slope intercept form equation: brainly.com/question/13217079?referrer=searchResults