Example 1A: Graphing by Using Slope and y-intercept

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Example 1A: Graphing by Using Slope and y-intercept Graph the line given the slope and y-intercept. y intercept = 4 y • Rise = –2 • Step 1 The y-intercept is 4, so the line contains (0, 4). Plot (0, 4). • • Step 2 Slope = Count 2 units down and 5 units right from (0, 4) and plot another point. Run = 5 Step 3 Draw the line through the two points.

If you know the slope of a line and the y-intercept, you can write an equation that describes the line. Step 1 If a line has a slope of 2 and the y-intercept is 3, then m = 2 and (0, 3) is on the line. Substitute these values into the slope formula.

Step 2 Solve for y: Simplify the denominator. • Multiply both sides by x. 2x = y – 3 +3 +3 Add 3 to both sides. 2x + 3 = y, or y = 2x + 3