Question

For the straight line defined by the points ( 3 , 51 ) (3,51) and ( 5 , 87 ) (5,87) , determine the slope ( m m ) and y-intercept ( b b ). Do not round the answers.

Answer 1

Intercept = - 3 ; slope = 18

Explanation:

Given the points :

(3, 51) ; (5, 87)

x1 =3, y1 = 51, x2 = 5 ; y2 = 87

Slope intercept relation:

y = mx + c

m = slope ; c = intercept ; x and y are x, y vlayes respectively

Slope (m) = (y2 - y1) / (x2 - x1)

Slope (m) = (87 - 51) / (5 - 3)

Slope = 36 / 2

Slope (m) = 18

The intercept c :

m = 18 ; x = 5 ; y = 87

Substitute values into the slope intercept formula :

87 = 18(5) + c

87 = 90 + c

c = 87 - 90

c = - 3

Intercept = - 3