The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have y-intercept b = -2, therefore y = mx - 2.
The x-intercept = 3 is for y = 0. Substitute:
0 = m(3) - 2 <em>add 2 to both sides</em>
2 = 3m <em>divide both sides by 3</em>
m = 2/3
Therefore y = 2/3 x - 2.
The standard form: Ax + By = C.
2/3 x - 2 = y <em>add 2 to both sides</em>
2/3 x = y + 2 <em>subtract y from both sides</em>
2/3 x - y = 2 <em>multiply both sides by 3</em>
<h3>2x - 3y = 6</h3>