Warm Up

Write Equations of Lines Essential Question: How do you create an equation of a line given a point and the slope or given two points?

Key Terms Point-Slope Formula: ▫A formula for writing linear equations using a _____________ and the __________ of a line.

Key Concept Write linear equations in slope-intercept form Steps: 1)_________ the values given for the _______ and the ___________. 2)___________ these values for ___ and ___ in the slope-intercept form equation. 3)Leave ___ and ___ as variables for your answer.

Example 1 Slope is 6 and y-intercept is 8

Example 2 Slope is ½ and y-intercept is – 7

Example 3 b = ¼ and m = – 3

Example 4 Slope is 3 and y-intercept is ( 0, 4 )

Example 5

Example 6

Key Concept

Example 7 Write the equation of a line given: m= 4 (0, 2)

Example 8 m= -3 (1, 5)

Example 9 m= 6 (-4, 10)

Example 10 m= -1 (-5, -8)

Example 11

Example 12

Essential Question: How do you create an equation of a line given a point and the slope or given two points?

Key Concept

Example 13 Write the equation for the line which passes through the two given points. (4, 7) (6, 17)

Example 14 (-2, 5) (0, -1)

Example 15 (5, 1) (9, -15)

Example 16 (0, -2) (3, -1)

Example 17 (0, 10) (5, 10)

Example 18 (-4, 4) (-2, 3)

Key Concept Write linear equations in standard form Steps: 1) _______ the equation in _______ _________ _______. 2) Move the ___ _____ to the ______ ______ of the equation. (Box and Wall)

Example 19 Given the following information, write an equation in Slope-Intercept Form & then change to a final answer in Standard Form: Slope is 2 and y-intercept is 12

Example 20 Slope is -7 and y-intercept is 16

Essential Question: How do you create an equation of a line given a point and the slope or given two points?