Answer:
[tex]\huge\boxed{\sf m = -\frac{3}{2} }[/tex]
Step-by-step explanation:
Given equation:
3x + 2y = 7
Solve for y
3x + 2y = 7
Subtract 3x to both sides
2y = -3x + 7
Divide both sides by 2
[tex]\displaystyle y = \frac{-3x+7}{2}[/tex]
We can also write it as:
[tex]\displaystyle y = -\frac{3}{2} x + \frac{7}{2}[/tex]
Comparing it to the standard form of slope-intercept equation:
y = mx + b (Where m is gradient and b is y-intercept)
So, we get:
[tex]\displaystyle m = -\frac{3}{2}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
