Question

Find the slope and the y-intercept of the graph of each equation. 4x-3y=9

Answer 1

slope is 4/3

y-intercept is -3

Step-by-step explanation:
`4x\text{ - 3y = 9}`

Using equation of line:

`\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}`

The given equation is not in the form of the equatiion above, so rewrite:

4x - 3y = 9

4x = 3y + 9

4x - 9 = 3y

4x/3 - 9/3 = 3y/3

4x/3 - 3 = y

y = 4x/3 - 3

So we can compare now

We compare both equations:

`\begin{gathered} y\text{ = y} \\ mx\text{ = }(4)/(3)x \\ m\text{ = 4/3} \\ b\text{ = -3} \end{gathered}`

Hence, slope is 4/3

y-intercept is -3