Question

What is the equation,

Answer 1

The equation, in slope-intercept form, of the line that is perpendicular to the line y- 4 = -(x-6) and passes through the point (-2,-2) is y = x.

How to represent equation in slope intercept form?

The equation in slope intercept form is represented as follows;

y = mx + b

where

• m = slope
• b = y-intercept

Therefore,

perpendicular lines follows the rule as follows;

m₁m₂ = -1

Therefore,

y - 4 = -(x - 6)

y - 4 = -x + 6

y = -x + 6 + 4

y = -x + 10

Therefore,

-1m₂ = -1

m₂ = 1

Hence, the line passes through (-2, -2).

Therefore,

-2 = 1(-2) + b

b = -2 + 2

b = 0

Therefore, the equation is as follows;

y = x

learn more on equation here: brainly.com/question/18611223

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