Question

Graph the equation by first finding the​ x- and​y-intercepts.

Answer 1

Answer:

x-intercept: (2,0)

y-intercept: (0,3)

Step-by-step explanation:

We are asked to graph our given equation $\frac{1}{2}x+\frac{1}{3}y=1$.

To find x-intercept, we will substitute $y=0$ in our given equation.

$\frac{1}{2}x+\frac{1}{3}(0)=1$

$\frac{1}{2}x+0=1$

$2*\frac{1}{2}x=2*1$

$x=2$

Therefore, the x-intercept is $(2,0)$.

To find y-intercept, we will substitute $x=0$ in our given equation.

$\frac{1}{2}(0)+\frac{1}{3}y=1$

$0+\frac{1}{3}y=1$

$3*\frac{1}{3}y=3*1$

$y=3$

Therefore, the y-intercept is $(0,3)$.

Upon connecting these two points, we will get our required graph as shown below.