Question

The table shows a linear relationship between x and y. Drag and drop the options provided into the correct boxes to complete the equation.

Answer 1

y = -7x + 8

Explanation:

We need to find the change in y over the change in x.

Look at when y is 1 on the table and then is 8 next. That is an increase of 7. Look at when x is 1 on the table and then is 0 next. That is a decrease of 1.

7/-1 is the same as -7. -7 is our slope or constant rate of change.

The y-intercept is when the graph would cross the y axis. That is point (0,8). 8 is our y-intercept.

y = mx + b Replace m with -7 and b with 8

y = -7x + 8