Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
There is no picture for me to check
Step-by-step explanation:
Umm sorry but thank you.
This ordered pair is not a solution for the given equations. We can tell this by plugging in to each of them and seeing that it does not provide a true statement for both. It does work for the first, but is not an intersection due to it not working for each.
4x - 3y = 30
4(6) - 3(-2) = 30
24 + 6 = 30 (TRUE)
3x + 2y = 22
3(6) + 2(-2) = 22
18 - 4 = 22
16 =/= 22 (FALSE)
Answer:
n=2
Step-by-step explanation:
(-y + -2 ) + ( 3y + 6)
-y + 3y = 2y
2 + (-6) = -4
equals to ( 2y - 4)
