We have
the next equation
[tex]3x+2y=12[/tex]
First, we need to know the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so we need to clear y of the equation given
[tex]y=-\frac{3}{2}x+6[/tex]
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
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-6}{4-0}=\frac{-6}{4}=-\frac{3}{2}[/tex]
as we can see we found the same value
the graph is
