y= number of muffins
x= years passed
2015-2010 = 5 years (y2)
point 1 (x1,y1) = (0,5800)
Point 2 (x2,y2)= (5,7420)
Apply the slope formula (m):
[tex]m=\text{ }\frac{y2-y1}{x2-x1}[/tex]Replace:
[tex]m=\frac{7420-5800}{5-0}=\frac{1620}{5}=324[/tex]Slope= 324
Slope intercept form:
y=mx+b
Where:
m: slope
b= y-intercept
y-intercept is the point where the function crosses the y-axis (0,5800)
b=5800
Final expression:
y= 324x+5800