what is this slope how do i find the slope

Reason
Start at the y intercept (0,3). This is where the red line crosses the y axis.
Move up 4 units and go right 1 unit to arrive at (1,7) which is also on the red line.
The motion "up 4, right 1" leads to the slope = rise/run = 4/1 = 4
In short, slope = 4
Alternatively you can use the slope formula [tex]m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\[/tex] with any two points on the red line.