Find the slope and the y-intercept of the line determined by the given equation.5(2x − 9y) = 12

Answer:
[tex]\begin{gathered} \text{ Slope= 10/45} \\ y-intercept=\text{ \lparen0, -12/45\rparen} \end{gathered}[/tex]Step-by-step explanation:
A linear function is represented by the following equation in slope-intercept form:
[tex]\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}[/tex]Therefore, for the given function, isolate ''y'' and identify ''m'' for the slope and ''b'' for the y-intercept.
[tex]\begin{gathered} \text{ Use distributive property of multiplication.} \\ 10x-45y=12 \\ 45y=10x-12 \\ y=\frac{10}{45}x-\frac{12}{45} \end{gathered}[/tex]Hence,
[tex]\begin{gathered} \text{ Slope= 10/45} \\ y-intercept=\text{ \lparen0, -12/45\rparen} \end{gathered}[/tex]