Answer:
y=2x-3
Step-by-step explanation:
1. find the slope
6x-3y=21
-3y=-6x+21 divide both sides by -3
y=2x-7
slope is 2
2.y-5=2(x-4)
y-5=2x-8
y=2x-8+5
y=2x-3
PARALLEL lines have the same slope
Answer:
180,45
Step-by-step explanation:
Answer:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Step-by-step explanation:
From the given graph, it is clear that the two lines meet at the point (3, 2).
In other words,
Thus,
The point of intersection between two lines is:
(x, y) = (3, 2)
Here:
x = 3 is the value of the x-coordinate
y = 2 is the value of the y-coordinate
Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

Subtract 1 from both sides

Simplify

subtract 2x from both sides

Simplify

Multiply both sides by 5

Simplify

Divide both sides by -5

Simplify

Therefore, the value of x = 3
Conclusion:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.