Warm Up 1) 2). Finding the slope of a line given a graph.
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Transcript of Warm Up 1) 2). Finding the slope of a line given a graph.
Warm Up
1)
2)
Finding the slope of a line given a graphRecall slope of a line is Or the amount the graph goes up divided by the amount that the graph goes over.
When calculating slope always go from left to right on the graph
Always find 2 points
Example 1
𝑅𝐼𝑆𝐸𝑅𝑈𝑁
Slope (m) =
Example 2 𝑅𝐼𝑆𝐸
𝑅𝑈𝑁
M =
2 parts to a linear equation
1. Slope = = m
2. Y intercept = b*the point where the graph crosses the y-axis
𝑅𝐼𝑆𝐸𝑅𝑈𝑁
Y intercept = B=
Let’s try a few
Work in teams to find the slope and y-intercept of the graphs
SLOPE INTERCEPT FORM
Graphing from an equation in slope intercept form
1.Start at your y-intercept (b)
2.Go up and over by the slope (m) always to the right first
*if the slope is a whole number only go over by 1 ie: m=2 go up 2 over 1
Y= 3x - 2
FINDING THE SLOPE OF A LINE GIVEN 2 POINTS
FOR EXAMPLE
Find the slope of the line that goes through (1,1) and (3,4)
First label the x1 and x2 and y1 and y2 values then put them into the slope equation
FIND THE SLOPE
The line goes through points (-2,-5) and (-1,3)
M=
The line goes through (-3,5) and (4,9)
M=
Writing an equation from 2 points
1. Find the slope
2. Solve using point slope form and a point from 1 of the 2 you are given
Point slope form is
Finding an equation using point slope form
The line goes through points (-2,-5) and (-1,3) M=
Re-write in slope intercept formy=
Given a slope of 3 and a line that passes through point (-1,6) find the slope intercept form of the line
Y=
FIND THE SLOPE INTERCEPT GIVEN 2 POINTS
(1,-3) and (5,-3)