Some values of a linear equation are provided. Complete the table.

Question

x | y

1 | -1

2 | 3

3 | _

4 | _

5 | _

I need help filling the blank spots thanks :D

Answer 1

Calculate the slope between the two given points (rise/run, (change in y)/(change in x).

m = (y₂-y₁)/(x₂-x₁).

m = (3-(-1))/(2-1) = 4/1.

This means every time x increases by 1 (the run), y increases by 4 (the rise).

In the given table the x values are increasing by 1, so just keep adding 4 to the previous y value to get the next y value.

Another way to proceed is to find the equation of the line passing through the given points. The slope has already been calculated, m = 4.

Use slope-intercept or point-slope to find the equation of the line:

y - 3= 4(x-2)

y = 4x-8+3

y = 4x-5

So when x = 3

y = 4(3)-5 = 7

Etc.

Take a look at this Desmos graph to get some ideas on how that tool can be used in conjunction with linear equations.

desmos.com/calculator/nhvbcdchqa

Select and right click the link to Desmos and select "Go to...."