The correct answer would be #2
The direction of the graph would go <u>downwards</u> as it has a negative slope. Additionally, the line will start from 9 since that is the y-intercept.
Answer:
The graph cannot represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and <u><em>the line passes through the origin</em></u> (0,0)
That means----> The x-intercept and the y-intercept of the line must to be the origin (0,0)
If the given line passes through the point (0,5), then the line not passes through the origin
therefore
The graph cannot represent a proportional relationship
This is the concept of simultaneous equations, the question requires us to solve the system of equations given by:
2x+4y=38
10x+3y=105
from the top equation;
2x=38-4y
dividing through by 2 we get:
x=19-2y......(*)
substituting (*) in the second equation we get:
10x+3y=105
10(19-2y)+3y=105
190-20y+3y=105
collecting like terms we get:
-20y+3y=105-190
-17y=-85
dividing both sides by -17 we get:
(-17y)/(-17)=(-85)/(-17)
y=5
thus
x=19-2y
x=19-2*5
x=19-10
x=9
thus
x=9 and y=5