Question

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

Answer 1

`\begin{gathered} \text{ Slope= 10/45} \\ y-intercept=\text{ \lparen0, -12/45\rparen} \end{gathered}`

Explanation:

A linear function is represented by the following equation in slope-intercept form:

`\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}`

Therefore, for the given function, isolate ''y'' and identify ''m'' for the slope and ''b'' for the y-intercept.

`\begin{gathered} \text{ Use distributive property of multiplication.} \\ 10x-45y=12 \\ 45y=10x-12 \\ y=(10)/(45)x-(12)/(45) \end{gathered}`

Hence,

`\begin{gathered} \text{ Slope= 10/45} \\ y-intercept=\text{ \lparen0, -12/45\rparen} \end{gathered}`