Answer:
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
