Question

Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​

Answer 1

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

Explanation:-

Given points are   (2,-5) and (8, 13)

The Slope of the line

            $m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3$

Equation of the line having slope 'm' and given point

        $y - y_{1} = m (x - x_{1} )$

(x₁ , y₁)   =    ( 2, -5 )  

        $y - (-5) = 3 (x - 2 )$

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

Final answer:-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11