Question

Solve for the x and y intercepts of the following. Show all steps. a)2x-5y=20

Answer 1

Solving for x and y intercepts when given an equation:

• the x-intercept occurs when y = 0, so we can set y = 0 and solve for x
• the y-intercept occurs when x = 0, so set x=0 and solve for y
• perform inverse operations until x or y is isolated

X-intercept:

`2x-5(0)=20`

`2x=20`

`x=10`

x-intercept occurs at (10,0)

Y-intercept

`2(0)-5y=20`

`-5y=20`

`y=-4`

y-intercept occurs at (0,-4)