Question

This equation: y-5=3(x-2) is written in point-slope form. Write this equation in the

following ways:
a. slope-intercept form
b. standard form
SHOW ALL WORK.

Answer 1

Slope-intercept is the same equation solved for y. y = mx + b. We begin by distributing the 3 into the parenthesis. y - 5 = 3x - 6. Now solve it for y by adding 5 to both sides and simplifying the right side. y = 3x - 6 + 5 is y = 3x - 1. Standard form is Ax + By = C, where x and y are on the same side and the constant, C, is on the other side of the equals sign. If y = 3x - 1, then in standard form we have -3x + 1y = -1. There you go!