What is 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)?

y=x

Step-by-step explanation:

slope intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Let's rewrite the given equation in the form of y=mx+c, so that we can determine the gradient of the line.

y-4= x-6

y= x -6 +4

y= x -2

Thus, the gradient of the given line is 1.

the product of the gradients of perpendicular lines is -1.

(gradient of line)(1)= -1

gradient of line= 1

Thus, m=1.

y= 1x +c

y= x +c

To find c, substitute a coordinate.

When x= -2, y= -2,

-2= -2 +c

c= -2 +2

c=0.

Thus the equation of the line is y=x.

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years