Question

The pair of points lies on the same line with the given slope. Find x.

(4,11), (x,17); slope = 3
Find x.
X=
(Type an integer or a simplified fraction.)

Answer 1

x = 6

Explanation:

Find the equation of the line

y = mx + b

Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)

11 = 3(4) +b Solve for y

11 = 12 + b Subtract 12 from both sides

-1 = b

y = 3x -1 This is the equation of the line. Substitute in 17 for y and solve for x

17 = 3x -1 Add 1 to both sides

18 = 3x Divide both sides by 3

6 = x