Question

2. A line has the equation 2y+5x=10A. Find the x and y-intercepts. explain and show workB. Graph the equation of the line by plotting the intercepts from part (a)

Answer 1

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

Therefore,

`\begin{gathered} 2y+5x=10 \\ 2y=-5x+10 \\ y=-(5)/(2)x+5 \end{gathered}`

A.

`y-\text{intercept}=5`
`\begin{gathered} 0=-(5)/(2)x+5 \\ -5=-(5)/(2)x \\ -10=-5x \\ x=(10)/(5) \\ x=2 \\ \\ x-\text{intercept}=2 \end{gathered}`

B.