Slope intercept equation:
y= mx+b
Where:
m= slope
b= y.intercept
Apply the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Use the coordinates given:
(x1,y1) = (3,19)
(x2,y2) = (5,23)
Replace
[tex]m=\frac{23-19}{5-3}=\frac{4}{2}=2[/tex]So far we have:
y=2x+b
Replace (x,y) by a coordinate point (5,23) and solve for b:
23 = 2(5)+b
23= 10+b
23-10= b
13 = b
Final equation:
y= 2x+13
