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Identify the slopes and y-intercepts of the linear equations below:

a) y=-2x-8

b) y=3

c) x=9

d) y=x

e) 2x+3y=5

 Jul 25, 2017
 #1
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a) y= -2x-8

Slope = -2

y intercept  =  -2(0) - 8  =    -8

x intercept   ....set y to 0  ....   0  = -2x  - 8    add 8 to both sides .....   8  = -2x    divide both sdes by -2

x  = -4

 

b) y=3

Slope = 0

y intercept  = 3

No x intercept

 

c) x=9

slope = undefined

no y interceprt

x intercept = 9

 

 

d) y=x

Slope  = 1

x intercept, intercept  = 0

 

 

e) 2x+3y=5   get y by itself  ...   subtract 2x ffrom both sides    ......3y = -2x + 5  ....divide both sides by 3

y  = (-2/3)x  + 5/3

 

Slope  = (-2/3)

y intercept =  5/3

x intercept   .....2x + 3(0)  = 5    ........2x  = 5   ...... divide both sides by 2......x  = 5/2

 

 

 

cool cool cool

 Jul 25, 2017

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