write the equations of the line that passes through the given points (3/8,0) and (5/8,1/2) show ur work

Answer:
[tex]y=2x-\frac{3}{4} .[/tex]
Step-by-step explanation:
1) if A(5/8;1/2) and B(3/8;0), then
2) according to the formula
[tex]\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]
4) it is possible to make up the required equation (slope-interception form):
[tex]\frac{x-\frac{3}{8}}{\frac{5}{8} -\frac{3}{8}} =\frac{y-0}{\frac{1}{2}-0} ;[/tex] [tex]=> \ y=2x-\frac{3}{4} .[/tex]