Write an equation in slope - intercept form of the line that passes through (2,-2) and is parallel to the graph of y = -x - 2

y = mx

Step-by-step explanation:

The equation of a line in the slope intercept form is represented by

y = mx + c

Where

m = slope ( change in the value of y on the vertical axis / change in the value of x on the horizontal axis)

c = y intercept (point where the straight line cuts the vertical axis)

For the graph of y = -x - 2,

Comparing with the slope intercept form, y = mx + c,

The slope, m = -1

For two lines to be parallel, their slope must be equal.

Let m1 = the slope of the line that passes through (2,-2)

So m = m1 = -1

To get the intercept, c

y = -2

x = 2

y = mx + c

-2 = -1 × 2 + c

-2 = -2 + c

c = -2+2 = 0

The equation of the line is

y = mx + 0

y = mx

true

step-by-step explanation:

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