- Slope formula: [tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: [tex] \frac{3k-4-k}{5-(-2)}=8 [/tex]
Next, combine like terms: [tex] \frac{2k-4}{7}=8 [/tex]
Next, multiply both sides by 7: [tex] 2k-4=56 [/tex]
Next, add 4 onto both sides of the equation: [tex] 2k=60 [/tex]
Lastly, divide both sides by 2 and your answer will be [tex] k=30 [/tex]
