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?
(1 point)
Responses
The line crosses the x-axis at (20, 0) and crosses the y-axis at (0, 100/7).
The line crosses the x-axis at (20, 0) and crosses the y-axis at (0, 100/7).
The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).
The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).
The line crosses the x-axis at (7/100, 0) and crosses the y-axis at (0, 1/20).
The line crosses the x-axis at (7/100, 0) and crosses the y-axis at (0, 1/20).
The line crosses the x-axis at (7, 0) and crosses the y-axis at (0, 5).
The x-intercept can be found by setting y = 0 in the equation and solving for x.
7x + 5(0) = 100
7x = 100
x = 100/7
Therefore, the x-intercept is (100/7, 0).
The y-intercept can be found by setting x = 0 in the equation and solving for y.
7(0) + 5y = 100
5y = 100
y = 100/5
y = 20
Therefore, the y-intercept is (0, 20).
So the correct answer is "The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20)."