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Name: Writing an Equation in Slope Intercept Form Given a Point and the Slope Guided Example: Write the equation of the line with slope 3 that passes through the point (-1 , 6). Step. Work l. Rewrite the equation mx + b 2. Substitute the given slope and the coordinate m = 3 and (x, y) = (-1, 6) 3. Simplify and Solve for b. -3 4. Substitute the slope and y-intercept into the slope-intercept formula Example #2 m = 2 and (-1, 5) +2 Try One! m = I and (-2, ) y cmX+b +1 Example #3 m = -2 and (-2, -2) y mx e b -ID?-b DIY! m = -l and (4, 5) mK*b

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Page 1: Guided Example - Weebly

Name:

Writing an Equation in Slope Intercept Form Given a Point and the Slope

Guided Example:Write the equation of the line with slope 3 that passes through the point (-1 , 6).

Step. Work

l. Rewrite the equation mx + b

2. Substitute the given slope and thecoordinate

m = 3 and (x, y) = (-1, 6)

3. Simplify and Solve for b.

-3

4. Substitute the slope and y-interceptinto the slope-intercept formula

Example #2m = 2 and (-1, 5)

+2

Try One!m = I and (-2, )

y cmX+b

+1

Example #3m = -2 and (-2, -2)

y mxeb

-ID?-bDIY!m = -l and (4, 5)

mK*b

Page 2: Guided Example - Weebly

Lines, Lines, Lines!!!: Point-Si e j:ntiti

Point-Slope Form

Student Practice Worksheet

NameDate Grade

Find a Point-Slope equation for a line containing the given point and having the given slope.

mXåb

- & L.å+b

rnX-kb

-a: -3(Ö+b- li*b

= CnX*b

NC hi-a

S

-83b

1

5

ml kb

-asb

- -\o eo

heb

0 5 -a(3Yo

Osb

-asa(5b

y s tY)ßb

10. (-3, -2), m -14

—bAtlantic Union Conference Teacher Bulletin • www.teacherbulletin.or Pa e 9 of 16