Question

In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation t/?f=3x%2B5y%20%3D%208" id="TexFormula1" title="3x+5y = 8" alt="3x+5y = 8" align="absmiddle" class="latex-formula">?

Answer 1

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.