To find the slope of a line, we need to know the slope formula. The slope formula is:
m = [tex] \frac{y_{1}- y}{x_{1}- x} [/tex], with m being the slope and (x₁, y₁) being the coordinates of 1 point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our equation ( (1,4) and (4, -2) ) into the slope formula. Substituting, we get:
[tex] \frac{4-(-2)}{1-4} [/tex]=
= [tex] \frac{6}{-3} [/tex]=
=-2
That means that the slope of our line is -2.
