Question

Determine the x and y intercepts2x-3y=48​

Answer 1

Answer:

x-intercept is 24 , y-intercept is -16

Step-by-step explanation:

* Lets explain how to solve the problem

- The x-intercept is the x-coordinate of the point of intersection

 between the graph of the equation and the x-axis ⇒ (x , 0)

- To find the x-intercept substitute the value of y in the equation by 0

- The y-intercept is the y-coordinate of the point of intersection

 between the graph of the equation and the y-axis ⇒ (0 , y)

- To find the y-intercept substitute the value of x in the equation by 0

* Lets solve the problem

∵ 2x - 3y = 48

- To find the x-intercept substitute y by 0

∴ 2x - 3(0) = 48

∴ 2x = 48

- Divide both sides by 2

∴ x = 24

∴ The graph intersects the x-axis at point (24 , 0)

* The x-intercept is 24

∵ 2x - 3y = 48

- To find the y-intercept substitute x by 0

∴ 2(0) - 3y = 48

∴ -3y = 48

- Divide both sides by -3

∴ y = -16

∴ The graph intersects the y-axis at point (0 , -16)

* The y-intercept is -16