Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]2x+3y=12[/tex]
[tex]4x-3y=15[/tex]
Required
Slope of #1
[tex]2x+3y=12[/tex]
Make y the subject
[tex]3y = -2x + 12[/tex]
Divide through by 3
[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]
[tex]y = -\frac{2}{3}x + 4[/tex]
An equation has the form:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Hence, the slope is [tex]-\frac{2}{3}[/tex]
