Question

Write an equation of the line that passes through the given points.
(-1,5) and (2, - 7)

Answer 1

The equation of the straight line is 4x +y = 1

Explanation:

Step(i):-

Given points are (-1,5) and ( 2,-7)

Slope of the line

`m =(y_(2)-y_(1) )/(x_(2) -x_(1) ) =(-7-5)/(2-(-1)) = (-12)/(3) = -4`

slope of the line m = -4

Step(ii):-

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

`y - y_(1) = m( x-x_(1) )`

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

Final answer:-

The equation of the straight line is 4x +y = 1