Question

The line l has equation 3x+4y=24. It crosses the x-axis at the point P and the y-axis at point Q. (a)Find the coordinates of P and Q.​

Answer 1

P = (8, 0) and Q = (0, 6)

Explanation:

To find where the line crosses the x- axis, substitute y = 0 into the equation and solve for x

3x + 4(0) = 24

3x = 24 ( divide both sides by 3 )

x = 8 ⇒ P = 8 ⇒ (8, 0 )

To find where the line crosses the y- axis substitute x = 0 into the equation and solve for y

3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ⇒ Q = 6 ⇒ (0, 6 )