Question

Please help me find the answer to fill in the boxes

Answer 1

Because we have a proportional relationship between y and x, that is equivalent to say that we have a linear relation or a linear function that describes the situation. Remember that a linear relationship is of the form

`y\text{ = mx+b}`

where m is the slope of the line and b is the y-intercept. Now, to find the corresponding values in the table, we must first find the linear function that describes the situation.

Step 1: Find the slope. By definition we have that the slope of the line is:

`m\text{ = }(Y2-Y1)/(X2-X1)`

where (X1,Y1) and (X2,Y2) are points on the graph, in our case the table data