Answer:
Students look at the relationship between the number of flags manufactured and the stars on the flag and determine whether it represents a proportional relationship.
Key Concepts
The form of the equation of a proportional relation is y = kx, where k is the constant of proportionality.
A graph of a proportional relationship is a straight line that passes through the origin.
The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
Goals and Learning Objectives
Identify the constant of proportionality in a proportional relationship based on a real-world problem situation.
Write a formula using the constant of proportionality.
Analyze a graph of a proportional relationship.
Make a graph and determine if it represents a proportional relationship.
Identify the constant of proportionality in a graph of a proportional relationship.
Step-by-step explanation:
1,615 - 53.60 = 1,516.4
1,516.4 rounded is 1,516.
1,516 is about 96% of 1,615.
100 - 96 = 4
4%
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
<h3>When are lines parallel, perpendicular or neither?</h3>
The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
In this problem, the slopes are given as follows:
- m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.
- m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.
The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
More can be learned about the slope of a line at brainly.com/question/12207360
#SPJ1
Answer:
C.
Step-by-step explanation:
hope this helps :-)
Step-by-step explanation:
The equation of a line in point slope form when given a point and slope can be found by using the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is ( - 4 , 3) and slope - ⅔ is
The equation of the line is
<h2>
</h2>
Hope this helps you