Question

4/5x + 1/2y= 40 what are the x and y intercepts

Answer 1

For this case we have the following equation:

`\frac {4} {5} x + \frac {1} {2} y = 40`

We must find the intersections with the x and y axes respectively.

Intersection with the x axis: Making
`y = 0` we have:

`\frac {4} {5} x + \frac {1} {2} (0) = 40\\\frac {4} {5} x = 40`

We multiply by 5 on both sides of the equation:

`4x = 5 * 40\\4x = 200`

Dividing by 4 to both sides of the equation:

`x = \frac {200} {4}\\x = 50`

Thus, the intersection with the x-axis is given by:
`(x, y) :( 50,0)`

Intersection with the y axis: Making
`x = 0`we have:

`\frac {4} {5} (0) + \frac {1} {2} y = 40\\\frac {1} {2} y = 40`

We multiply by 2 on both sides of the equation:

`y = 2 * 40\\y = 80`

Thus, the intersection with the y-axis is given by:
`(x, y) :( 0,80)`

Answer:

Intersection with the x axis: (50,0)

Intersection with the y axis: (0,80)