Maggie has a job working in an office for $9 an hour and another job driving a tractor for $12 an hour

**10 Points for your help and answer please**
Maggie works at both jobs and earns $540 in one week.
(a) Write an equation that gives the number of hours, x, she worked for $9 per hour and the number of hours, y, she worked for $12 per hour.
(b) Find the x- and y-intercepts for this equation.

(a)
9x + 12y = 540

(b)
To find the x-intercept, set y to 0 and solve for x.
9x = 540
x = 60 (so the line intersects the x-axis at the point (60, 0).
To find the y-intercept, set x to 0 and solve for y.
12y = 540
y = 45 (so the line intersects the y-axis at the point (0, 45).

9*x + 12*y = 540 Answer (a) divide both sides by 3
3x + 4y = 180
x intercept occurs at y = 0, i.e. when the lline cuts the x axis, giving
3x + 0 = 180
x = 60
x intercept is (60, 0)
y intercept occurs at x = 0, i.e. when the line cuts the y axis, giving
0 + 4y = 180
y = 45
y intercept occurs at (0, 45)