Question

A line has a slope of 2/3 and contains the points (x, 9) and (3,7). The value of x Is

Answer 1

The answer is x=6

Explanation:

Using the model for the linear equation, y=mx+b, we can plug in (3,7) for x and y to get 7 = (2/3)(3) + b. This means that b = 5.

We can then take our new equation and substitute (x,9) to get 9=(2/3)x+5. If we solve this equation, we get that x=6.

Answer 2

The answer to your question is x = 6

Explanation:

Data

slope = 2/3

Point A = (x, 9)

Point B = (3, 7)

Process

Look for the formula of the slope, substitute values, and solve of x.

1.- Equation of the slope

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

2.- Identify the values of x2, x1, y2 and y1

x1 = x y1 = 9 x2 = 3 y2 = 7

3.- Substitution

2/3 = (7 - 9) / (3 - x)

4.- Solve for x

(3 - x) = 3/2(7 - 9)

3 - x = 3/2(-2)

3 - x = -3

x = -3 - 3

x = 6