Question

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

Answer 1

`\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =(y_2 -y_1)/(x_2 -x_1) = (2-4)/(0-(-1)) = (-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)}`