Question

Rewrite the following equation in slope-intercept form.

13x − 14y = 14


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

To rewrite the equation 13x − 14y = 14 in slope-intercept form, we need to isolate y on one side of the equation. The slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.

Let's rearrange the given equation to solve for y:

13x - 14y = 14

Subtract 13x from both sides:

-14y = -13x + 14

Now, divide every term by -14 to isolate y:

y = (-13x + 14) / -14

Simplifying the expression on the right:

y = (-13x / -14) + (14 / -14)

y = (13/14)x - 1

Thus, the equation 13x - 14y = 14 can be rewritten in slope-intercept form as y = (13/14)x - 1.