Graphing a linear equation given the y and x intercept

Example 1

x + y = 4 1. Find the x intercept by substituting y=0 and then solve for x. x + 0 = 4 x = 4 2. Find the y intercept by substituting the x=0 then solve for y 0 + y = 4 y = 4 3. Plot the points and draw a line through them. Ordered pairs x intercept: (4, 0) y intercept: (0, 4) Then draw a straight line through them.

REMEMBER

- Always have arrow heads on the lines on your graphs - ake sure the points are on the x and y lines.

Intercepts

- points of the line that will pass the x axis and y axis - the x intercept is the point where the graph crosses the x axis - the y intercept is the point where the graph crosses the y axis

How to graph a linear equation with intercepts?

1. Find the x intercept by substituting y=0 and then solve for x. 2. Find the y intercept by substituting the x=0 then solve for y 3. Plot the points for both intercepts and draw a line through them.

Example 2

2y = -4x + 12 1. Find the x intercept by substituting y=0 and then solve for x. 2(0) = -4x + 12 0 = -4x + 12 4x = 12 4/4x = 12/4 x = 3 2. Find the y intercept by substituting the x=0 then solve for y 2y = -4(0) + 12 2y = 12 2y/2 = 12/2 y = 6 3. Plot the points and draw a line through them. Ordered pairs: x intercept: (3, 0) y intercept: (0, 6) Then draw a straight line through them