Question

Find the slope of the line whose equation is 6x - 3y = 12.

Answer 1

6x - 3y = 12

The slope intercept form: y = mx + c.

6x - 3y = 12

-3y = -6x + 12 Divide both sides by -3.

(-3y/-3) = (-6x +12)/-3

y = 2x - 4 comparing to y = mx + c , where m = slope, m = 2

slope = 2

Answer 2

You can find the slope by making the equation into slope-intercept form, in other words, solving it for y.

6x - 3y = 12 Subtract 6x from both sides
-3y = -6x + 12 Divide both sides by -3
y = 2x - 4

Slope Intercept form is y = mx + b, where m represents slope. M in your equation is 2, so the slope of the line is 2.