Identify the slope and y-intercept, if they exist.

Question

6y-7x=0

Select "Undefined" if applicable.

Slope:

Write the intercept as an ordered pair. Select "None" if applicable. If there is more than one intercept, separate them with commas.

y-intercept:

Answer 1

To identify the slope and y-intercept of the equation 6y - 7x = 0, we need to rewrite the equation in slope-intercept form, which is y = mx + b.

Starting with the given equation:
6y - 7x = 0

We can isolate y by adding 7x to both sides:
6y = 7x

Dividing both sides by 6, we get:
y = (7/6)x

From this equation, we can identify the slope and y-intercept.

Slope:
The slope (m) of the equation is the coefficient of x, which is 7/6.

y-intercept:
The y-intercept (b) of the equation is the constant term, which in this case, is 0.

Therefore, the slope of the equation is 7/6 and the y-intercept is (0, none).