The equation 7x + 5y = 100 is in standard form. This form tells us the x and y intercepts easily.
What are the x and y intercepts?
A. The line crosses the x-axis at (7/100, 0) and crosses the y-axis at (0, 1/20).
B. The line crosses the x-axis at (7, 0) and crosses the y-axis at (0, 5).
C. The line crosses the x-axis at (20, 0) and crosses the y-axis at (0, 100/7).
D. The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).
To determine the x-intercept, we set y equal to zero and solve for x:
7x + 5(0) = 100
7x = 100
x = 100/7
So the x-intercept is (100/7, 0).
To determine the y-intercept, we set x equal to zero and solve for y:
7(0) + 5y = 100
5y = 100
y = 20
So the y-intercept is (0, 20).
Therefore, the correct answer is D. The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).