Question

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6, -1). O A. y = 5x – 29 O B. y = 1x+ 1 5 O C. y = 5x + 29 OD. y = -5x - 11​

Answer 1

`{\text{C. }y=5x+29`

Explanation:

The slope-intercept form of a line is given by
`y=mx+b`, where
`m` is the slope of the line and
`b` is the y-intercept.

The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be
`5`. The equation of the line must be true for any point it passes through. Thus, we can plug in the point
`(-6,-1)` to solve:

`y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29`

Thus, the equation of the line is
`\boxed{\text{C. }y=5x+29}`