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 (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 line crosses the x-axis at (7, 0) and crosses the y-axis at (0, 5). The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).
The x-intercept is the point at which the line crosses the x-axis. To find this point, we set y equal to 0 and solve for x:
7x + 5(0) = 100
7x = 100
x = 100/7
So the x-intercept is (100/7, 0).
The y-intercept is the point at which the line crosses the y-axis. To find this point, we set x equal to 0 and solve for y:
7(0) + 5y = 100
5y = 100
y = 100/5
y = 20
So the y-intercept is (0, 20).
Therefore, the correct answer is: The line crosses the x-axis at (100/7, 0) and crosses the y-axis at (0, 20).