 # Finding the Intercepts of a Line

## Presentation on theme: "Finding the Intercepts of a Line"— Presentation transcript:

Finding the Intercepts of a Line
An x-intercept is a point where a graph crosses the x-axis. At such a point, y = 0.  The point would be (x, 0). x y 1 2 3 4 1 2 3 4 (3, 0) x-intercept

Finding the x-intercept
To find the x-intercept of a line, Let y = 0 Solve for x

Finding the x-intercept
To find the x-intercept of a line, Let y = 0 Solve for x Example 1 Find the x-intercept of 2x + 3y = 6 Substitute 0 for y Solve for x The x-intercept is 3. The line crosses the x-axis at (3, 0)

Finding the x-intercept
Try This One… Find the x-intercept of x – 2y = 6 Substitute 0 for y Solve for x The x-intercept is 6. The line crosses the x-axis at (6, 0)

Finding the Intercepts of a Line
An y-intercept is a point where a graph crosses the y-axis. At such a point, x = 0.  The point would be (0, y). x y 1 2 3 4 1 2 3 4 y-intercept (0, 2)

Finding the y-intercept
To find the y-intercept of a line, Let x = 0 Solve for y

Finding the y-intercept
To find the y-intercept of a line, Let x = 0 Solve for y Example 1 Find the y-intercept of 2x + 3y = 6 Substitute 0 for x Solve for y The y-intercept is 2. The line crosses the y-axis at (0, 2)

Finding the y-intercept
Try This One… Find the y-intercept of x – 2y = 6 Substitute 0 for x Solve for y The y-intercept is -3. The line crosses the y-axis at (0, -3)

Find the Intercepts Find the x-intercept and the y-intercept of the graph of the equation y = x + 2

Find the Intercepts Find the x-intercept and the y-intercept of the graph of the equation 4x + 3y = 12

Find the Intercepts Find the x-intercept and the y-intercept of the graph of the equation 2x – y = 4.