Write an equation in standard form for the line that passes through the given points.

Question

(0,2) and (3,0)

Answer 1

Start with two-point form

(y - 2) / (x - 0) = (0 - 2) / (3 - 0)

Can you simplify and convert to standard form?

Answer 2

Hi Alexis R.,

m = [0 - 2]/[3 - 0] = -2/3

y = (-2/3)x + 2, slope-intercept form {point (0, 2) is the y-intercept = b}

3y = -2x + 6, {multiply whole equation by 3}

2x + 3y = 6, standard form {add 2x to both sides}

I hope this helps, Joe.