ANSWER
[tex]\begin{gathered} y=\frac{2}{3}x+\frac{b}{15} \\ \\ slope=\frac{2}{3} \end{gathered}[/tex]EXPLANATION
We want to put the equation in slope-intercept form:
[tex]15y=10x+b[/tex]The general form of the slope-intercept form of a linear equation is:
[tex]y=mx+b[/tex]To do that, divide both sides of the given equation by 15:
[tex]\begin{gathered} \frac{15y}{15}=\frac{10x}{15}+\frac{b}{15} \\ \\ y=\frac{2}{3}x+\frac{b}{15} \end{gathered}[/tex]From the slope-intercept form of the linear equation, m represents the slope while b represents the y-intercept of the equation.
Comparing the given equation to the general equation, we see that the slope of the equation is:
[tex]slope=\frac{2}{3}[/tex]That is the answer.
