Answer:
y = -2x + 3
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