Answer:
y = -6x - 4
Step-by-step explanation:
The equation of a line looks like y = mx + b (general form)
"m" is the slope, how steep the line is.
"b" is the y-intercept, where the graph hits the y-axis.
"x" and "y" are solutions, or points on the line.
(-1, 2) is a point on the line. It's written as an ordered pair like (x, y).
x = -1
y = 2
<u>Parallel lines have the same slope</u>.
In y=-6x+2, the slope is -6 because it's attached to "x", just like in the general form.
m = -6
<u>Substitute the information so far</u> into the general form.
y = mx + b
2 = (-6)(-1) + b
Simplify the multiplication.
2 = 6 + b
<u>Isolate "b"</u> (separate it from everything else).
2 - 6 = 6 - 6 + b Subtract 6 from both sides
-4 = b Y-intercept
b = -4 Variable on left side for standard formatting
Notice in the example of a line (y=-6x+2), you only need to fill in "m" and "b".
<u>Substitute the values for slope and y-intercept</u> into the general form.
y = -6x - 4 Equation of the line
