Question

How do you find the x and y intercepts for `y=9/5x+3/5`?

Answer 1

x = `- 1/3 and y = 3/5`

Explanation:

`y = 9/5`x + `3/5` is a linear equation ie. a straight line.

when a straight line crosses the x-axis the value of it's y-coordinate will be 0. By substituting y = 0 into the equation will enable us to find the corresponding x-coordinate.

y=0 : `9/5` x + `3/5` = 0

`9/5`x = `-3/5`

`x= -3/5 / 9/5`

`x= -3/5 xx 5/9`
`x = -1/3`
similarly when the straight line crosses the y-axis the value of it's x-coordinate will be 0 and by substituting x =0 into the equation will give the corresponding y- intercept.

x=0 : y = `9/5 xx 0 + 3/5`
`y= 0 + 3/5 = 3/5`