Question

What is the y-intercept of the line that passes through the points (2,-1) and (-3,9)

Answer 1

Answer:

The equation of the straight line y = -2x +3

y-intercept =  3 and m =-2

Step-by-step explanation:

Step(i):-

Given that the points are ( 2,-1) and (-3,9)

The slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{9-(-1)}{-3-(2)} = \frac{10}{-5} = -2$

Step(ii):-

The equation of the straight line passing through the point ( 2,-1) and slope m=-2

      y-y₁ = m( x- x₁)

     y -(-1) = -2 ( x-2)

      y +1 = -2x +4

     2x +y +1-4 =0

    2x +y -3 =0

Final answer:-

The equation of the straight line y = -2x +3