elliotholyan
Answered

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Write an equation in slope-intercept form of the line that passes through (−1, 4)​ and (0, 2)​

Sagot :

loneguy

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]

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