write linear equations in slope- intercept form (part 2) big idea: verify that a point lies on a...
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Write Linear Equations in Slope-Intercept Form (Part 2) Big Idea: Verify that a point lies on a line. Derive linear equations.
Writing an Equation of a Line is Slope-Intercept Form given Two Points:
Step 1: Identify the slope. If the slope is not given, this means using the slope formula to calculate the slope using two points on the line.
Step 2: Find the y-intercept. This means you can substitute the slope and one point (x,y) in the equation y=mx +b. Then solve for b.
Step 3: Write an equation using: y = mx + b
Examples
• (1) Write an equation of the line that passes through the point (6,3) and has a slope of 2.
• (2) Write an equation of the line that passes through the point (6, 3) and has a slope of -2.
Examples
• (3) Write an equation of the line with the following information:
•(-3, -1) ; m = 4
• (4) Write an equation of the line with the following information:
• (8, -4) ; m = -3
Write an equation given two points• (1) Write an equation of the line that
passes through (3, 0) and (2, -4).• Step 1: Calculate the slope
• Step2: Find the y-intercept. Use the slope and a
• point.
• Step 3: Write an equation of the line.
Examples: Write an equation given two points.
• (2) (3, 0) and (2, -4) (3) (1, -2) and (-5, 4)
• (4) (-2, 10) and (4, -2) (5) (2, 8) and (-2, -4)
Examples: Write an equation of the given line.
(-1, 8)
(3, 4)
Step 1: Calculate the slope.
Step 2: Find the y-intercept. Use the slope and a point to find b.
Step 1: Write the equation of the line.
Example 2: Write an equation of the given line.
(4, 5)
(2, 9)
Example 3: Write an equation of the given line.
(8, -3)(-2, 2)