9x+72 = 4x+112
5x = 40
x = 8
The points A, B and C are collinear and AC + CB = AB.
From that, we can conclude that C is between A and B. Because if you split AB, C will appear (AB = AC + CB).
Hope this helps! :)
Solve your system of equations step by step.
x−2y=14;x+3y=9
Solve x−2y=14 for x:
x−2y+2y=14+2y (Add 2y to both sides)
x=2y+14
Substitute (2y+14) for x in x+3y=9:
x+3y=9
2y+14+3y=9
5y+14=9(Simplify both sides of the equation)
5y+14+−14=9+−14 (Add -14 to both sides)
5y=−5
5y5=−55 (Divide both sides by 5)
y=−1
Substitute (−1) for y in x=2y+14:
x=2y+14
x=(2)(−1)+14
x=12(Simplify both sides of the equation)
So,
y=-1
x=12
Answer is C)
Answer:

or

Step-by-step explanation:
To write the equation of the line using a slope and a point, use the point-slope formula
. Here m is 3/7. And the point
is (4,9). Substitute the values and simplify.

Both the point slope form and the final simplified form are considered equations of the line.