Answer: hopefully this helps
The relationship between x and y in the table appears to be a linear, proportional relationship. One way to write an equation for this relationship is using the slope-intercept form, 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 = (y2 - y1) / (x2 - x1).
Using any two points from the table, like (x1, y1) = (0.5, 7) and (x2, y2) = (1, 14)
m = (14 - 7) / (1 - 0.5) = 7 / 0.5 = 14
So the slope (m) = 14, which means that y increases by 14 units for every unit increase in x.
Then we can use any point in the table to find the y-intercept (b)
Using the point (1,14)
14 = 14*1 + b
b=0
So the equation for the proportional relationship shown in the table is : y = 14x
Explanation: