The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
To determine if the line represents a proportional relationship, we can use the slope formula.
The slope of a line passing through two points (x1,y1) and (x2,y2) is given by:
m = (y2 - y1) / (x2 - x1)
Using the given coordinates (2,3) and (3,4.5):
m = (4.5 - 3) / (3 - 2)
= 1.5 / 1
= 1.5
The slope is 1.5.
To determine if the line passes through the origin, we can substitute one of the given points (2,3) into the equation y = mx + b, where b is the y-intercept.
3 = 1.5(2) + b
3 = 3 + b
b = 0
The y-intercept (b) is 0, indicating that the line passes through the origin.
Since the line does not pass through the origin, the correct statement is: The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer: C.
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3), (3,4.5), (4,6), (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
1 answer
1 answer