Question

Find the linear equation from this table

Answer 1

y=2x+5

Explanation:

The slope-intercept form of a linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept.

We can start by finding the slope...

`Slope=(y_2-y_1)/(x_2-x_1)`

We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...

`Slope=(9-5)/(2-0)=(4)/(2)=2`

The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...

y=2x+5