Question

Rewrite each of the following linear equation in equivalent y=mx+b

Answer 1

You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.

2y-3x=10  add 3x to both sides

2y=3x+10  divide both sides by 2

y=1.5x+5,  since y=mx+b, m=slope and b=y-intercept

slope=1.5 and the y-intercept is, technically the point, (0, 5)