Determining an Equation of a Line

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Presentation transcript:

Determining an Equation of a Line Chapter 8 Section 8.5

Objective Students will find an equation of a line given the slope and one point on the line, or given two points on the line

Concept You have learned to graph a line when given its equation. Now you will learn to find an equation of a line when given information about its graph.

Equation of a line y = mx + b m = slope b = y-intercept Concept Equation of a line y = mx + b m = slope b = y-intercept

Concept Answers will be in slope-intercept form (y = mx + b) Given slope and one point – fill in y, x, and m into the equation and solve for b, write equation Given two points – find m, choose 1 order pair and fill in y, x, and m into the equation and solve for b, write equation

Write an equation of a line that has slope 2 and y-intercept 3 Example Write an equation of a line that has slope 2 and y-intercept 3

Example Write an equation of a line that has slope -4 and x-intercept 3

Example Write an equation of a line that has slope 2 and passes through (1, 10)

Example Write an equation of a line that has slope -2 and passes through (-4, 5)

Example Write an equation of the line that passes through the points (-2, 5) and (4, 8)

Example Write an equation of the line that passes through the points (1, 1) and (2, 4)

Questions

Assignment Worksheet