Answer:
The answer is x=6
Step-by-step 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:
The answer to your question is x = 6
Step-by-step 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
