Question

Find the equation of a line that
passes through (-5,4) and is
parallel to y = -6/7x+3

Answer 1

y = -6/7x - 2/7

Explanation:

parallel lines have the same slope

The slope of the given line is -6/7

so the new line should be:

y = -6/7x + b

now we have to find b

we can plug in the x and y:

4 = -6/7(-5) + b

and solve:

4 = 30/7 + b

4 = 4 2/7 + b

-2/7 = b

b = -2/7

so the equation is:

y = -6/7x - 2/7