P.2 Linear models and rates of change; question 7

[Eigenvalue]

7. Find the line that passes through the point with the indicated slopes
Point: (2,3)
Slopes:
a) 1
b) -2
c) [tex]\frac{-3}{2}[/tex]
d) Undefined

[Eigenvalue]

For parts a-c, use point-slope form to find the equation
y-[tex]y_{1 }[/tex]=m(x-[tex]x_{1 }[/tex])

a) y-3=(x-2)
y=x+1

b)y-3=-2(x-2)
y=-2x+7

c) y-3=[tex]\frac{-3}{2}[/tex](x-2)

y-3=[tex]\frac{-3}{2}[/tex]x+3

y=[tex]\frac{-3}{2}[/tex]x+6

d) As the slope for part d is undefined, the line is a vertical line
x=2