Question

Graph the equation using the x- and y-intercepts x-2y=6

Answer 1

Answer:

The graph is attached below in DESMOS

Step-by-step explanation:

Given:

x- 2y = 6

It is the equation of a line

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

We need to graph the equation using the X and Y intercepts,

For y-intercept

put x = 0 in the given equation we get

0 - 2y = 6

-2y = 6

∴ y = -3

∴ B ≡ (0 ,-3)  {blue color in desmos i.e y-intercept}

For x-intercept

put y = 0 in the given equation we get

x - 2 × 0 = 6

x = 6

∴ x = 6

∴ A ≡ (6 , 0) {green color in desmos i.e x-intercept}

For a graph we require minimum two points so we have point A and point B see the attachment below.