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)