Question

Write the equation of the line in fully simplified slope-intercept form.

-12-11-10-9-8
4-3-2
12
2H298NON-
10
-10
1 2 3 4 5 6 7 8 9 10 11 12 1

Answer 1

y = -4x -4

Explanation:

we need to get two points to calculate the gradient

points chosen are (-2,3) and (-3,7)

Gradient = change in y coordinates/ change in X coordinates

G = (7-3)/(-3- -2)

= 4/-1

= -4

to write the equation in slope -intercept form we need one known point (-2,3) and one unknown point (X,y) and the gradient.

G = ∆y/∆x

-4 = (y - 3)/ (X - -2)

-4 = (y-3)/ (X+2)

we now cross multiply

-4(X + 2) = y - 3

-4x -8 = y-3

-4x -8+4 = y

y = -4x -4