Slope and y intercept

Question

Find the slope and y intercept of the line 7y-4x=21

Answer 1

To find the slope and y-intercept for the function 7y−4x=21, you need to convert the equation to the slope-intercept form, which is y=mx+b.

Solving that algebraically for the value of "y" yields:

7y=4x+21

y=4/7x+3

From this equation, you can see that:

1. The slope is the coefficient of x, so m = 4/7.
2. The y-intercept is the constant term, so b = 3.

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

You first need to put the equation into a standard form.

Put it into the slope-intercept form (y=mx+b) and then you will be able to tell directly that the slope and intercept are.

 

7y - 4x = 21  - get the 4x on the other side

 

7y = 4x +21  - then divide by 7 and you will have the form y=mx+b

 

Now you will what m and b are.