Answer:
- red: y = 3x +2
- blue: y = 3x -1
Explanation:
You want the equations of the graphed parallel lines with y-intercepts of 2 and -1, and a rise/run of 3/1.
Slope-intercept equation
The slope-intercept form equation with slope m and y-intercept b is ...
y = mx +b
Each of these lines rises 3 units for each 1 unit to the right, so has a slope of ...
m = rise/run = 3/1 = 3
Red line
The red line crosses the y-axis at y=2, so its equation is ...
y = 3x +2
Blue line
The blue line crosses the y-axis at y=-1, so its equation is ...
y = 3x -1