Question

graph this line using intercepts;
x + 2y = 6
click to select points on the graph.

Explanation:

Step1: Find x-intercept (set y=0)

Set $y=0$ in $x + 2y = 6$:
$x + 2(0) = 6$
$x = 6$
So x-intercept is $(6, 0)$.

Step2: Find y-intercept (set x=0)

Set $x=0$ in $x + 2y = 6$:
$0 + 2y = 6$
$y = \frac{6}{2} = 3$
So y-intercept is $(0, 3)$.

Step3: Plot intercepts, draw line

Plot points $(6, 0)$ and $(0, 3)$, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(6, 0)$ and y-intercept $(0, 3)$; connecting these two points gives the graph of $x + 2y = 6$.