Answer:
slope=4/5
y-intercept = -3
Step-by-step explanation:
first we need to rewrite the expression to
[tex]y=mx+b[/tex]
were b is the y-intercept and m the slope
[tex]4x-5y=15\\\\4x-5y+5y=15+5y\\\\4x+0=15+5y\\\\4x=5(3)+5(y)\\\\4x=5(3+y)\\\\\frac{1}{5}*4x= \frac{1}{5}*5(3+y) \\\\\frac{4x}{5}=3+y\\\\\frac{4x}{5} -3=3+y-3\\\\\frac{4x}{5} -3=y+0\\\\y=\frac{4x}{5} -3\\\\y=\frac{4}{5}x-3[/tex]
so there we have it
[tex]m=\frac{4}{5} \\\\b=-3[/tex]
