To find the relationship between x and y, we need to determine how the values in y change with respect to the values in x. Looking at the given values, it appears that y is increasing as x increases. We can also infer that the relationship between x and y is linear.
To find the equation of the line, we can use the formula for the equation of a straight line, which is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we can use the formula:
m = (change in y) / (change in x)
m = (y2 - y1) / (x2 - x1)
Using the values (4, 76) and (3, 57), we have:
m = (57 - 76) / (3 - 4)
= (-19) / (-1)
= 19
So, the slope (m) is 19.
To find the y-intercept (b), we can use the formula:
b = y - mx
Using the point (4, 76), we have:
b = 76 - 19 * 4
= 76 - 76
= 0
So, the y-intercept (b) is 0.
Therefore, the equation that shows the relationship between x and y is:
y = 19x + 0
y = 19x
The relationship is linear because the slope is a constant value (19), indicating a constant rate of change, and the y-intercept is 0, indicating that when x is 0, y is also 0.
x = time 4, 3, 10, 7, 9
y = 76, 57, 190, 133, 171
Every minute meters are traveled.
b. Write an equation to show the relationship between x and y.
c. This relationship is because the y-intercept is .
1 answer
1 answer