Question

How do you write the equation in slope intercept form given (2, -1) and (-3, 4)?

Answer 1

Equation of the line in slope intercept form is `y= -x+1`

Explanation:

The slope :`m=(y_2-y_1)/(x_2-x_1) = (4+1)/(-3-2)=5/(-5)= -1`
The equation of line in slope-intercept form is `y=mx+c or y = -x+c`
The point (2,-1) is on the line. So it will satisfy the equation `:.(-1) = (-1)*2+c or c=-1 +2=1` Hence the equation of the line in slope intercept form is `y= -x+1` graph{-x+1 [-10, 10, -5, 5]}[Ans]