Answer:
D. (6,3)
Step-by-step explanation:
To the find which point can be located on the line you will have to find the point-slope form
The formula for point-slope form is y=mx+b
m is slope
b is y-intercept
Since we already know the slope we can just replace it:
y=1/2x+b
Now we need to find the y-intercept
We can do this by distributing them with (4,2)
As you remember in point the digits are in x and y
(x,y) so we can tell that 4 is x and 2 is y
Now we can substitute x with 4 and y with 2
2=1/2(4)+b
Multiply 1/2 and 4
which is 2
2=2+b
Thus b=0
So the slope intercept form is y=1/2x
Now we can substitute the other points:
For (5,2):
2=5/2
Which is incorrect since 2 does not equal 5/2
For (2,3):
3=1/2(2)
Which is
3=1
Which is incorrect since 3 does not equal 1
For (3,4)
4=1/2(3)
Which is
4=3/2
Which is incorrect since 4 does not equal 3/2
For (6,3)
3=1/2(6)
Which is
3=3
Which is correct since 3 does equal to 3
Hope this helps!
The picture is not showing up
Step-by-step explanation:
I hope it's correct...
Answer:
infinitely many solutions.
Step-by-step explanation:
y=4x
y-4=4 (x-1)
Lets substitute the first equation into the second equation.
4x -4 = 4(x-1)
Distribute
4x-4 = 4x-4
Subtract 4x from each side
4x-4x-4 =4x-4x-4
-4=-4
This is always true. X can be anything. We have infinite solutions
