How do you find the x and y intercepts of the equation y = 3x + 4?

To find the intercepts of the equation y = 3x + 4, we need to determine the points where the line crosses the x-axis and the y-axis.

Finding the y-intercept

The y-intercept occurs where the line crosses the y-axis, which is when x = 0. We can find the y-intercept by substituting 0 for x in the equation:

y = 3(0) + 4
y = 4

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

Finding the x-intercept

The x-intercept occurs where the line crosses the x-axis, which is when y = 0. To find the x-intercept, we substitute 0 for y in the equation:

0 = 3x + 4

Now we can solve for x:

3x = -4
x = -4/3

Thus, the x-intercept is (-4/3, 0).

Summary

To summarize, the intercepts of the equation y = 3x + 4 are:

• y-intercept: (0, 4)
• x-intercept: (-4/3, 0)