# given that g is a linear function with slope =-4 and g (-2)=2, write the equation tha

• Mar 24th 2010, 05:12 PM
alessandromangione
given that g is a linear function with slope =-4 and g (-2)=2, write the equation tha
given that g is a linear function with slope =-4 and g (-2)=2, write the equation that defines g.

need ur help guys...i'm completely lost
• Mar 24th 2010, 06:10 PM
skeeter
Quote:

Originally Posted by alessandromangione
given that g is a linear function with slope =-4 and g (-2)=2, write the equation that defines g.

need ur help guys...i'm completely lost

point-slope form ...

\$\displaystyle y - y_1 = m(x - x_1)\$

\$\displaystyle y - g(-2) = -4[x - (-2)]\$
• Mar 24th 2010, 07:16 PM
alessandromangione
why in the last part u put m(x-(-2)) ? isn't x1 2 ?
• Mar 24th 2010, 07:26 PM
pickslides
Quote:

Originally Posted by alessandromangione
why in the last part u put m(x-(-2)) ? isn't x1 2 ?

No, \$\displaystyle g(-2)=2\$ therefore,

\$\displaystyle y - g(-2) = -4[x - (-2)]\$

\$\displaystyle y - 2 = -4[x - (-2)]\$
• Mar 25th 2010, 03:03 AM
HallsofIvy
Also, any linear function can be written g(x)= mx+ b where "m" is the slope. You are told that m= -4 so g(x)= -4x+ b. Now put x= -2, g(x)= g(-2)= 2 and solve for b.

g(-2)= 2 means that x= -2, y= 2.