Question

Find the intercepts and then use them to graph the equation.
3xplusyequals6

Answer 1

To find the intercepts, we set one of the variables to 0 and solve for the other variable.

To find the x-intercept:
Let y = 0
3x + 0 = 6
3x = 6
x = 2

So the x-intercept is at (2, 0).

To find the y-intercept:
Let x = 0
3(0) + y = 6
y = 6

So the y-intercept is at (0, 6).

Now we can plot these intercepts on a graph and connect them to graph the equation:

(2, 0) and (0, 6)

This gives us a line passing through these two points, representing the equation 3x + y = 6.