Question

Use the intercepts & then graph the equation out of them.2x+5y=10

Answer 1

To graph this question the first step we have to follow is to find the x and y intercepts.

To find the x intercept, replace y for 0 in the equation and then solve it for x:

$\begin{gathered} 2x+5(0)=10 \\ 2x+0=10 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}$

It means that the x intercept is (5, 0).

To find the y intercept, replace x for 0 in the equation and then solve it for y:

$\begin{gathered} 2(0)+5y=10 \\ 0+5y=10 \\ 5y=10 \\ y=\frac{10}{5} \\ y=2 \end{gathered}$

It means that the y intercept is (0, 2).

Now, use these two points to graph the equation.