Write an equation in Point-Slope Form of the line that passes through the given point and is parallel to the graph of the given equation. Point: (0, -5) Equation: y = 9x

Answer 1

In point-slope form we write equations in the form:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁,y₁) is the point we're given.

We know that our equation should be parallel to y = 9x, so our equation should have the same slope as this one. Therefore, m = 9.

Plugging in our given point, (0,-5), and the slope we found we get:

y - y₁ = m(x - x₁)

y - (-5) = (9)(x - 0)

y + 5 = 9x