Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write.

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Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write Linear Equations in Slope-Intercept Form

Recall: The graph of an equation in slope-intercept form, y = mx + b, is a line with a slope of m and a y- intercept of b. You can use this form to write an equation of a line if you know its slope and y-intercept.

Example: Write an equation of a line with a slope of 4 and a y- intercept of -3. Solution: Now substitute 4 for m and -3 for b.

Extra Examples: Write an equation: 1. Slope is 8; y-intercept is Slope is ; y-intercept is -3

Using Two Points If you know the point where a line crosses the y- axis and another point on the line, you can write an equation of the line.

Ex 1: Write an equation of the line shown: Step 1: Calculate slope: m = Step 2: Write an equation of the line: y = (0, -5) (3, -1)

Ex 2: Write an equation of the line shown: Step 1: Calculate slope: m = Step 2: Write an equation of the line: y = (0, -2) (3, 3)

Using Two Points Only! (No Graph) You can write the equation of a line given two points by: 1. Calculating the slope 2. Identifying the y-intercept 3. Using y = mx + b

Examples: Write an equation of the line containing the points: (1) (0, -2) and (8, 4) Find the slope:m = Identify the y-intercept: b = Write the equation of the line:y = mx + b

Examples: Write an equation of the line containing the points: (2)(-3, 6) and (0, 5) (3) (0, 3) and (-4, 11) (4) (-6, 0) and (0, -24)