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
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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 ... $\displaystyle y - y_1 = m(x - x_1)$ $\displaystyle y - g(-2) = -4[x - (-2)]$
why in the last part u put m(x-(-2)) ? isn't x1 2 ?
Originally Posted by alessandromangione why in the last part u put m(x-(-2)) ? isn't x1 2 ? No, $\displaystyle g(-2)=2$ therefore, $\displaystyle y - g(-2) = -4[x - (-2)]$ $\displaystyle y - 2 = -4[x - (-2)]$
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.
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