What is parallel to y=-2x+2 and goes through the points (-1,5).

y = -2x + 3

Step-by-step explanation:

We are given the linear equation y = -2x + 2.  Each and every other line parallel to y = -2x + 2 has the same slope (-2) as does y = -2x + 2.  Only the y-intercept differs.  We must find the value of b, the new y-intercept.

Starting with y = -2x + 2, and recognizing that the new line passes through (-1, 5), we substitute 5 for y and -1 for x.  We replace that " +2 " with b, the y -intercept.  This leads to the following equation in b:

5 = -2(-1) + b

and this simplifies to 5 = 2 + b.  Thus, b = 3.

The equation of the line parallel to y = -2x + 2 which passes through (-1, 5) is thus

y = -2x + 3

step-by-step explanation:

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