Slope of a Line Practice AK

What is the slope in the following equations?

  1. $y=4x+2 \rightarrow m=4$ 
  2. $y=-3x-1\rightarrow m=-3$
  3. $y=\dfrac{1}{2}x+7\rightarrow m=\dfrac{1}{2}$
  4. $2y=4x+12\rightarrow m=2$
  5. $6x-y=5\rightarrow m=6$
  6. $-3y-7=2x\rightarrow m=\dfrac{-2}{3}$

Find the slope of the line that passes through the following two points:

  1. (3,4) and (8,9)=$\rightarrow\dfrac{9-4}{8-3}=\dfrac{5}{5}=\mathbf{1}$
  2. (-2,3) and (-4,7)$\rightarrow\dfrac{7-3}{-4--2}=\dfrac{4}{-2}=\mathbf{-2}$
  3. (-6,-2) and (1,1)$\rightarrow\dfrac{1--2}{1--6}=\mathbf{\dfrac{3}{7}}$
  4. (1,2) and (-3, -4)$\rightarrow\dfrac{-4-2}{-3-1}=\dfrac{-6}{-4}=\mathbf{\dfrac{3}{2}}$
  5. (9,2) and the origin$\rightarrow\dfrac{0-2}{0-9}=\dfrac{-2}{-9}=\mathbf{\dfrac{2}{9}}$
  6. (3,3) and (3,7)$\rightarrow\dfrac{7-3}{3-3}=\dfrac{4}{0}=\mathbf{\text{undefined}}$