Question

Use the x and y intercepts to graph each linear equation for x-2y=6

Answer 1

x-intercept = (6, 0)

y-intercept = (0, 3)

Step-by-step explanation:

We can find the x-intercept of a line if we replace the value of y by 0 and solve for x as follows:

x - 2y = 6

x - 2*0 = 6

x = 6

So, the point (6, 0) is the x-intercept.

We can also find the y-intercept of a line if we replace the value of x by 0 and we solve for y as:

x - 2y = 6

0 - 2y = 6

2y = 6

y = 6/2

y = 3

So, the point (0, 3) is the y-intercept.

Then, using those points, we can graph the line as: