Agiven line has the equation 10x + 2y = −2.

what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

Step 1

Find the slope of the given line

we have

Isolate the variable y

Subtract both sides

Divide by both sides

The slope of the given line is

Step 2

Find the equation of the line that is parallel to the given line and passes through the point

we know that

If two lines are parallel. then their slope are equal

In this problem we have

The equation of the line into slope-intercept form is equal to

substitute the values

the equation of the line is

therefore

the answer is