Question

Use the x and y intercepts to graph the linear equation.

2x-6y=8

Answer 1

To find the x-intercept, we set y to 0 and solve for x:

2x - 6(0) = 8
2x = 8
x = 4

So the x-intercept is (4, 0).

To find the y-intercept, we set x to 0 and solve for y:

2(0) - 6y = 8
-6y = 8
y = -8/6 = -4/3

So the y-intercept is (0, -4/3).

Now let's plot these two points on the graph and draw a line through them.

The x-intercept is (4, 0), so we plot a point at (4, 0).

The y-intercept is (0, -4/3), so we plot a point at (0, -4/3).

We can now draw a line through these two points on the graph.

The graph of the linear equation 2x - 6y = 8 is:

{{{graph(400,400,-5,5,-5,5,(2x-8)/6)}}}