Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept.

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Presentation transcript:

Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept form. a. b. +21 SOLVE FOR “Y”

Warm-Up 1. Given slope = -3, and y-intercept = (0,5), create the equation of the line in slope-intercept form. 2. Look at the graph below and create an equation in slope-intercept form. m = -1/2 b = (0,2)

4.7 Point-Slope Form Advanced Algebra 1

What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept

Write an equation of a line given the slope and the y- intercept. Write an equation given the slope and y-intercept

Remember how to graph using slope-intercept form?? Slope-Intercept Form – requires the y-intercept and the slope of the line. m = slope of lineb = y-intercept

Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of this line? m = -6/5 b = (0,2)

Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of this line? m = 3/2 b = (0,-3)

Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of the line? m = 3/4 b = (0,4)

What is Point-Slope Form? We are going to use this, when given slope, m, and a random point, (x 1,y 1 )

Given a point (6,2) and m = 2/3, write the equation of the line. What if the directions said to write the equation in slope-intercept form? +2 This is the equation of the line in point-slope form!!

Given a point (1,-5) and m = 3, write the equation of the line. What if the directions said to write the equation in slope-intercept form? - 5 This is the equation of the line in point-slope form!!

Given a point (-3,7) and m = -2, write the equation of the line. What if the directions said to write the equation in slope-intercept form? +7 This is the equation of the line in point-slope form!!

Given a point (2,3) and m = 3 create an equation of the line. Using Slope-Intercept: We don’t know the y-intercept, so let’s plug in what we know and solve for “b” -6 Now just plug in the “m” and “b” Using Point-Slope Form: Just plug in everything you know! Now just solve for “y” +3 Which way is easier???

Using Point-Slope Form (2,2) We need the slope and a point: Plug it into the point- slope form Simplify

Write the Equation in Point-Slope Form - 6