The equation 10x+3y =90 is in standard form this form tells us the x and the y-intercept easily.

what are the x and the y-intercept
a. the x-intercept is (3,0) and the y-intercept is at (0,10)
b. the x-intercept is (9,0) and the y-intercept is at (0,30)
c. the x-intercept is (1/9,0) and the y-intercept is at (0,1/30)
d. the x-intercept is (10,0) and the y-intercept is at (0,3)

To find the x-intercept, we set y = 0 and solve for x.

10x + 3(0) = 90
10x = 90
x = 9

Therefore, the x-intercept is (9, 0).

To find the y-intercept, we set x = 0 and solve for y.

10(0) + 3y = 90
3y = 90
y = 30

Therefore, the y-intercept is (0, 30).

The correct answer is b. the x-intercept is (9,0) and the y-intercept is at (0,30).