Question

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2

Answer 1

Answer:

Option A. $y=5x+29$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we have

$y=5x+2$

The slope of the given line is

$m=5$

Remember that

If two lines are parallel, then their slopes are equal

therefore

The slope of the line parallel to the given line is also  $m=5$

step 2

Find the equation of the line parallel to the given line in slope intercept form

$y=mx+b$

we have

$m=5$

$point\ (-6,-1)$

substitute and solve for b

$-1=5(-6)+b$

$-1=-30+b\\b=30-1\\b=29$

substitute

$y=5x+29$