Question

Help my small brain understand.

Answer 1

You have to write a linear equation that fits these points. For this, you will need to find the slope and the y intercept of the points.

To find the slope, get any two points provided. I will use (1,7) and (2,14). The formula to find the slope is y²-y/x²-x. This just means that you subtract the first y value from the second, so 14-7=7, and divide by the second x value minus the first, so 2-1=1. Now you divide 7/1=7, and that is your slope.

The y intercept is the y coordinate when x is zero. You can see that the pattern in the table is to add 7 each time, so when x is 0 y would be 0 as well. This means that your y intercept is 0.

Now to write the actual equation, m=slope and b=y intercept. Just plug in your values into the y=mx+b equation to get y=7x+0, or just y=7x. ;)

Answer 2

y = 7x

Explanation:

1: slope (m)- as the x-variable goes up by 1, the y-variable goes up by 7. So, the ∆y/∆x = 7. Therefore, the slope is 7.

2: y-intercept (b)- When x = 0, y also has to be 0, since all of the x-variables multiplied by 7 gives the related y-variable, without any adding.

3: plug in- y = 7x + 0 --> y = 7x