Answer:
[tex]y=4x-3[/tex]
Step-by-step explanation:
First, we can identify the line's slope, which is a measure of how steep it is:
[tex]m = \dfrac{\text{rise}}{\text{run}} = \dfrac{\Delta y}{\Delta x}[/tex] ([tex]\Delta[/tex] means "change in")
↓ plugging in the values we can identify from the graph
[tex]m = \dfrac{4}{1}[/tex]
[tex]m=4[/tex]
Next, we can identify its y-intercept (the y-value of the line when it crosses the y-axis):
[tex]b=-3[/tex]
Finally, we can assemble these values in slope-intercept form:
[tex]y=mx+b[/tex]
↓ plugging in the known values
[tex]\boxed{y=4x-3}[/tex]
