Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then


where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e.,
, is of the
, where,
.
So, the equation
represents a proportional relationship.
Therefore, the correct option is B.
Hello!

Use the slope formula along with provided points to solve for the slope.
We can use the points (-4, -1) and (0, -3) and plug these values into the equation:


This might be wrong but I got .024806509
I don't know if you wanted it rounded but I hope this might have helped.
Answer:
90°
Step-by-step explanation:
Answer:
The answer to your question is y = 2x + 11
Step-by-step explanation:
Data
Original line y = -(1/2)x + 5
Point (-4, 3)
Process
1.- Get the slope of the new line
- Slope of the original line = -1/2
If the lines are perpendicular, the slopes must be reciprocal
-1/2 reciprocal = 2
2.- Get the equation of the new line
y - y1 = m(x - x1)
y - 3 = 2(x + 4)
- Simplification
y - 3 = 2x + 8
- Solve for y
y = 2x + 8 + 3
y = 2x + 11