Question

What is the Slope of 7x+4y=20

Answer 1

slope =
`(-7)/(4)`

Step-by-step explanation:

The general form of the linear line is:

y = mx + c

where:

m is the slope

c is the y-intercept

The given equation is:

7x + 4y = 20

We will start by putting the equation in the general form:

7x + 4y = 20

4y = -7x + 20

`(4y)/(4) = (-7x)/(4) + (20)/(4)`

y =
`(-7)/(4) x + 5`

Now, comparing our equation with the general form, we would find that:

m = slope =
`(-7)/(4)`

c = y-intercept = 5

Hope this helps :)