Find the equation of the line that is parallel to the line y = 5x + 4 and has the same y-intercept as y = 3x - 2

Answer 1

The equation of a line is:

y = mx + b

where m is the slope of the line and b is the y-intercept. We want a line that's parallel to y = 5x + 4. Parallel lines have the same slope, so our line must have a slope of 5. We also want the same y-intercept as y = 3x - 2. The y-intercept is -2, so our line also has a y-intercept of -2:

y = 5x - 2