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5.2 Use Linear Equations in Slope-Intercept Form

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Brianna Edgerly

on 24 May 2011

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Transcript of 5.2 Use Linear Equations in Slope-Intercept Form

5.2:Use Linear Equations in Slope-Intercept Form y-intercept-the y-coordinate of a point where the graph crosses the y-axis slope-it represents m in a slope-intercept equation slope-intercept form-where m is the slope
and b is the y-intercept of the equation's graph step 1:
find the y-intercept by putting in the slope
and point coordinates into the slope-intercept form step 2:
write an equation of the line example- (1,2) m=4
y=4x+b subsitute the slope for m
2=4x+b y-value subsitutes for y
2=4(1)+b x-value subsitutes for the x
2=4+b solve for b
y=4x-2 subsitute the answer for b into the orginal equation example- (1,2) (4,6)
6-2/4-1 use the rule y2-y1 over x2-x1 to find the slope
m=4/3 find the slope
y=4/3x+b write the orginal equation
2=4/3(1)+b subsitute one set of coordinates(does not matter which one) into the equation
2=4/3+b solve for b
-1 2/3=b
y=4/3x-1 2/3 subsitute the answer for b into the original equation The End :)
Brianna Edgerly practice problems:
1. (3,4) m=7

2. (7,5) (4,2) answers-
1. y=7x-17

2. y=x-2 Definitions
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