9514 1404 393
Answer:
y = 4x
Step-by-step explanation:
A parallel line will have the same slope. The given line is written in "slope-intercept form", so the slope is readily identified from the equation.
y = mx + b . . . . . line with slope m and y-intercept b
y = 4x -7 . . . . . . line with slope 4 and y-intercept -7
So, the parallel line will be something of the form ...
y = 4x + b
for any value of b. The simplest is to let b=0. If b=-7, then the lines are coincident, not parallel, so that value must be excluded. Any other value of y-intercept will give a parallel line.
y = 4x . . . . . parallel line
