Question

Write an equation of the line that passes through the given point and is parallel
to the given line.
(3, - 2) and y = 2x + 5

Answer 1

So when an equation or set of equations are parallel, that means that the equations have the same slope.

for the given equation, it has a slope of 2.

so to find the equation of the other line, you substitute the coordinate and slope into the equation y=mx+b.

-2=2(3)+b

-2=6+b

-8=b

So your function that is parallel has a slope of 2 and a y intercept at -8 or (0,-8).

Then just substitute those values into the equation.

y=2x-8