Question

Find the slope of the line with the given equation. Show your work. 6x – 2y = 18

Answer 1

Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y        = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2  = $\frac{18 - 6x}{2}$ <-- Divide each side by 2. This it to
                                                               get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
The slope is the coefficient of the x variable.

So, 3 is the slope.