Answer:
The answer is
[tex]m=-\dfrac{3}{2}[/tex]
[tex]b=4[/tex]
Step-by-step explanation:
The slope of the line is given by
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
using the coordinates of the given points
[tex](x_1,y_1)=(0,4)[/tex]
[tex](x_2,y_2)=(2,1)[/tex]
we get
[tex]m=\dfrac{1-4}{2-0}=-\dfrac{3}{2}[/tex]
and [tex]b[/tex] is the intersection with the y-axis, so [tex]b=4[/tex]
