Question

what are the x and y intercepts for the line: 4x-24=10 leave your answers in coordinate point form ( , ) ( , )

Answer 1

• 4x-2y=10
• 2y=4x-10

x intercept

• 4x-10=0
• 4x=10
• x=10/4
• x=5/2

(2.5,0)

y intercept

• 2y=-10
• y=-5

(0,-5)

Answer 2

• (2.5, 0) and (0, - 5)

Explanation:

The line is:

• 4x - 2y = 10

The x- intercept is the value of x, when y = 0:

• 4x - 2*0 = 10
• 4x = 10
• x = 2.5

The y- intercept is the value of y, when x = 0:

• 4*0 - 2y = 10
• - 2y = 10
• y = - 5