Determining X and Y Intercepts

This set covers the vocabulary and mathematical steps for finding the x and y intercepts of a linear equation as described in the lecture.

x-intercept

The point where the graph of an equation crosses the x-axis; it is found by setting $y = 0$ and solving for $x$.

y-intercept

The point where the graph of an equation crosses the y-axis; it is found by setting $x = 0$ and solving for $y$.

$$y = \frac{2}{3}x - 4$$

The linear equation used in the example to find the intercepts and graph the line.

Reciprocal

The fraction $\frac{3}{2}$ used to multiply both sides of the equation $4 = \frac{2}{3}x$ to solve for $x$.

Coordinate point for x-intercept

The specific point $(6, 0)$ calculated for the line $y = \frac{2}{3}x - 4$.

Coordinate point for y-intercept

The specific point $(0, -4)$ calculated for the line $y = \frac{2}{3}x - 4$.

Table of values

The tool mentioned as a way to organize and determine the x and y intercepts of the line.