Question

URGENT!!

1. Given the equation 3x – 4y = 24.
a) Find two solutions to the equation. Write your answer as coordinates.





b) Using your answers from part a, what is the slope of the given equation.





c) Convert the given equation into slope-intercept form.

Answer 1

(0, -6) and (8, 0)

`(4)/(3)`

`y=(3)/(4)-6`

Explanation:

(a)
`3x-4y=24`

Let
`x=0`

`0-4y=24\\\Rightarrow y=-6`

Let
`y=0`

`3x-0=24\\\Rightarrow x=8`

Two coordinates are (0, -6) and (8, 0)

(b) Slope is given by

`m=(y_2-y_1)/(x_2-x_1)\\\Rightarrow m=(0-(-6))/(8-0)\\\Rightarrow m=(3)/(4)`

The slope of the equation is
`(4)/(3)`

(c)

`3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=(3)/(4)-6`

The slope intercept form of the equation is
`y=(3)/(4)-6`