finding the equation of a line given a slope and

Question

Finding the Equation of a line, Given a Slope and a Point ?

Find the equation of a line with slope m = 2, which passes through the point (-1, -3).

Solution:

Use the point-slope form:

y - y₁ = m(x - x₁ )

With m = 2 and (x₁ ,y₁ ) = (-1, -3). Substitute for m, x1 , and y1:

y - ( -3) = 2(x - ( -1)).

Simplify:

y + 3 = 2x + 2

y = 2x - 1.

(This is the slope-intercept form.)