Answer:
y=2x+5
Step-by-step 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...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...
[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]
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
