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# 5.2 Use Linear Equations in Slope-Intercept Form

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Tweet## Brianna Edgerly

on 24 May 2011#### 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=mx+b

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

-4-4

-2=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

-4/3

-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

Full transcriptand 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=mx+b

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

-4-4

-2=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

-4/3

-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