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

$\begin{gathered} \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}$

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

$\begin{gathered} \frac{3y}{3}=\frac{6}{3} \\ y=2 \end{gathered}$

The y-intercept is (0, 2)

Let us use them to draw the graph

The graph represents the line using the intercept points.