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 (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 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 (20, 0) and crosses the y-axis at (0, 100/7
The equation 7x + 5y = 100 is in standard form. To find the x-intercept, we set y = 0 and solve for x.
Therefore, 7x + 5(0) = 100
This simplifies to 7x = 100
Dividing both sides by 7, we get x = 100/7.
So, the line crosses the x-axis at (100/7, 0).
To find the y-intercept, we set x = 0 and solve for y.
Therefore, 7(0) + 5y = 100
This simplifies to 5y = 100
Dividing both sides by 5, we get y = 20.
So, the line crosses the y-axis at (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).