Question

Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-intercept form, if possible.(-1,3); y = 1

Answer 1

we have that

The equation of the given line is

y=1

this equation represents a horizontal line

so

the slope is zero (m=0)

Remember that, if two lines are parallel, then their slopes are equal

that means

the slope of the parallel line is m=0 too

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=0

point (-1,3)

the equation is

y=3