What is the equation of the line that is parallel to y = -3/4x - 5 and passes through the point (4,2)? Write the equation in point slope form.

Answer 1

Point-slope form is (y-y₂)=m(x-x₂) where x₂ and y₂ are the coordinates of a point, which in this case is (4,2), and m is the slope. Two lines that are parallel have the same slope. The equation of the line that is parallel to the one we are looking is written in the form y=mx+b, so the slope, m, is -3/4.

Therefore, we have: x₂=4

y₂=2

m=-3/4

Putting these values into our point-slope form, we get (y-2)=(-3/4)(x-4).