Answer:
y -3 = -3(x +1)
Step-by-step explanation:
You want an equation for the line parallel to y=-3x+2 through the point (-1, 3).
Slope-intercept form
The given line is written in slope-intercept form:
y = mx +b . . . . . . . where m is the slope and b is the y-intercept
Matching your equation to this form, we see that ...
The parallel line will have the same slope: m = -3.
Point-slope form
Another form of the equation for a line is "point-slope form." That is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Perhaps you can see this would be useful for writing the equation of a line with slope -3 through the point (-1, 3).
y -3 = -3(x +1) . . . . . . . line with slope -3 through point (-1, 3)
