Question

Can you help me with question 3 finding the slope

Answer 1

We have

the next equation

`3x+2y=12`

First, we need to know the slope-intercept form

`y=mx+b`

where m is the slope and b is the y-intercept

so we need to clear y of the equation given

`y=-(3)/(2)x+6`

where

the slope is -3/2

the point of the y-intercept is (0,6)

the point of the x-intercept is (4,0)

using the formula of the slope

`m=(y_2-y_1)/(x_2-x_1)=(0-6)/(4-0)=(-6)/(4)=-(3)/(2)`

as we can see we found the same value

the graph is