The key features of the graph of the given equation -8x + 20y = 240 include the following:
D. As x → -∞, y → ∞.
E. The y-intercept is (0, 12).
H. The x-intercept is (-30, 0).
How to determine the key features of this equation?
Making y the subject of formula in order to determine the slope, we have:
20y = 8x + 240
Dividing both sides of the equation, we have:
y = 8x/20 + 240/20
y = 8x/20 + 12
Therefore, the slope is equal to 8/20.
What is y-intercept?
In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
When x = 0, the y-intercept is given by;
20y = 8(0) + 240
y = 240/20
y = 12.
Therefore, the y-intercept is equal to (0, 12).
When y = 0, the x-intercept is given by;
-8x + 20(0) = 240
x = -240/8
x = -30