The slope intercept formula is given by the expression below:
[tex]y=mx+b[/tex]Where "m" is the slope and b is the y-intercept of the graph.
The first step to solve this problem is to rewrite the given expression in it's slope-intercept form. This is done below:
[tex]\begin{gathered} 5y-15=-3x \\ 5y-15+15=-3x+15 \\ 5y=-3x+15 \\ \frac{5y}{5}=\frac{-3x}{5}+\frac{15}{5} \\ y=-\frac{3x}{5}+3 \end{gathered}[/tex]From the expression we know that the y-intercept is "3". We need another point to graph the equation correctly. To find it we will make y=0 and find the value of x.
[tex]\begin{gathered} 0=-\frac{3x}{5}+3 \\ \frac{3}{5}x=3 \\ 3x=15 \\ x=\frac{15}{3} \\ x=5 \end{gathered}[/tex]We can finally graph the equation. It crosses the y-axis at "3" and the x-axis at "5".
