Substitute either point and the slope into the slope-intercept form.

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Substitute either point and the slope into the slope-intercept form. Example 1 Write the equation of the line that passes through (3, –4) and (–1, 4) in slope-intercept form. Find the slope. = y2 – y1 x2 – x1 4 – (–4) –1 – 3 8 –4 = = –2 The slope is –2. Substitute either point and the slope into the slope-intercept form. y = mx + b Substitute –1 for x, 4 for y, and –2 for m. 4 = –2(–1) + b 4 = 2 + b Simplify. Course 3

Subtract 2 from both sides. Example 1 Continued Solve for b. 4 = 2 + b –2 –2 Subtract 2 from both sides. 2 = b Write the equation of the line, using –2 for m and 2 for b. y = –2x + 2 Course 3

Substitute either point and the slope into the slope-intercept form. Example 2 Write the equation of the line that passes through (1, 2) and (2, 6) in slope-intercept form. Find the slope. = y2 – y1 x2 – x1 6 – 2 2 – 1 4 1 = = 4 The slope is 4. Substitute either point and the slope into the slope-intercept form. y = mx + b Substitute 1 for x, 2 for y, and 4 for m. 2 = 4(1) + b 2 = 4 + b Simplify. Course 3

Using Slopes and Intercepts Course 3 Using Slopes and Intercepts Example 2 Continued Solve for b. 2 = 4 + b –4 –4 Subtract 4 from both sides. –2 = b Write the equation of the line, using 4 for m and –2 for b. y = 4x – 2