In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation 3x+5y = 8 ?

Question

In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation
`3x+5y = 8` ?

Answer 1

the y-intercept will be
`(8)/(5)`

the standard line equation is y = mx + b, where y is the y point, x is the x point, m is the slope, and b is the y-intercept.

to get the y intercept, we need to transform into the line equation, and caculate out b.

3x + 5y = 8
so 5y = 8 -3x
then y =
`(8)/(5)` -
`(3)/(5)`x
which means that
`(8)/(5)` = the y intercept.