Question
use the graph to match the responses
(2,1), (4,2), (6, 3), (8, 4), and (10,5)
1. the y-intercept _________
2. an equation that represents this graph ________
3. the consent of proportionality ________
(2,1), (4,2), (6, 3), (8, 4), and (10,5)
1. the y-intercept _________
2. an equation that represents this graph ________
3. the consent of proportionality ________
Answers
GPT 3.5
1. The y-intercept: The y-intercept is the value of y when x = 0. Looking at the given points, we can see that when x = 0 (2,1) is not included, so we cannot determine the y-intercept from the given information.
2. An equation that represents this graph: To find an equation that represents this graph, we'll use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept. Since we don't have the y-intercept from the given information, we cannot determine the equation.
3. The constant of proportionality: The constant of proportionality is the ratio of y to x in a linear relationship. We can calculate this by taking any two points from the given information. Taking the points (2,1) and (4,2), we can calculate the constant of proportionality as follows:
(K = y/x, where K represents the constant of proportionality)
K = (2-1)/(4-2)
K = 1/2
So, the constant of proportionality is 1/2.
2. An equation that represents this graph: To find an equation that represents this graph, we'll use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept. Since we don't have the y-intercept from the given information, we cannot determine the equation.
3. The constant of proportionality: The constant of proportionality is the ratio of y to x in a linear relationship. We can calculate this by taking any two points from the given information. Taking the points (2,1) and (4,2), we can calculate the constant of proportionality as follows:
(K = y/x, where K represents the constant of proportionality)
K = (2-1)/(4-2)
K = 1/2
So, the constant of proportionality is 1/2.