Question

How do you graph `y= - \frac { 17} { 4} x + \frac { 5} { 3}`?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y=-17/4x+5/3`

Find the x- and y-intercepts. The x-intercept is the value of `x` when `y=0`. The y-intercept is the value of `y` when `x=0`.

X-Intercept

`0=-17/4x+5/3`

Subtract `5/3`.

`-5/3=-17/4x`

Divide both sides by `(-17/4)`

`-5/3-:-17/4=x`

`-5/3xx-4/17=x`

`20/51=x`

Point: `(20/51,0)`

Y-Intercept

`y=-17/4xx0+5/3`

`y=0+5/3`

`y=5/3`

Point: `(0,5/3)`

Plot the points and draw a straight line through them.

graph{y=-17/4x+5/3 [-14.24, 14.24, -7.12, 7.12]}