Question

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

Answer 1

The equation of the straight line in Slope- intercept form

y = 3 x - 11

Explanation:

Explanation:-

Given points are (2,-5) and (8, 13)

The Slope of the line

`m = (y_(2) -y_(1) )/(x_(2) -x_(1) ) = (13-(-5))/(8-2) = (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