Answer:
Step-by-step explanation:
The parallel lines must have the same slope.
The slope of the given line is 3.
So the parallel line has slope 3 and passes through (1,1)
The general equation of the line is y = m*X + b where m is the slope and b is the intercept.
Solving for B, the intercept is B = y - m*x.
Because (1,1) is on this line X=1, Y=1, and M=3
Plugging them in and substituting:
B = 1 - 3*1 = 1 - 3 = -2.
So the y-intercept of the parallel line is -2.
The equation of the parallel line is y = 3x + -2 = 3x - 2
The original line crosses the y-axis at y=3, while the parallel line
cross the y-axis at y=-2, which is 4 squares down on the
graph paper. With the slope of 3, M=3 = 3/1 = rise/run --> up three and on to the right.
You can now draw the graphs.
