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

Verified Answer :

the y-intercept will be \(\frac{8}{5}\)

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 = \(\frac{8}{5}\) - \(\frac{3}{5}\)x
which  means that \(\frac{8}{5}\) = the y intercept.