Answer:
slope = [tex] \frac{-7}{4} [/tex]
Explanation:
The general form of the linear line is:
y = mx + c
where:
m is the slope
c is the y-intercept
The given equation is:
7x + 4y = 20
We will start by putting the equation in the general form:
7x + 4y = 20
4y = -7x + 20
[tex] \frac{4y}{4} = \frac{-7x}{4} + \frac{20}{4} [/tex]
y = [tex] \frac{-7}{4} x + 5 [/tex]
Now, comparing our equation with the general form, we would find that:
m = slope = [tex] \frac{-7}{4} [/tex]
c = y-intercept = 5
Hope this helps :)