Question

What digit is in the

Answer 1

To find the x-intercept equate y by 0 in the given equation

`2x+3y=6`

Let y = 0

`\begin{gathered} 2x+3(0)=6 \\ 2x+0=6 \\ 2x=6 \end{gathered}`

Divide both sides by 2 to find x

`\begin{gathered} (2x)/(2)=(6)/(2) \\ x=3 \end{gathered}`

The x-intercept is (3, 0)

Let x = 0

`\begin{gathered} 2(0)+3y=6 \\ 0+3y=6 \\ 3y=6 \end{gathered}`

Divide both sides by 3 to find y

`\begin{gathered} (3y)/(3)=(6)/(3) \\ y=2 \end{gathered}`

The y-intercept is (0, 2)

Let us use them to draw the graph

The graph represents the line using the intercept points.