Question

How to solve this Algebra question?

Answer 1

• Slope formula: $\frac{y_2-y_1}{x_2-x_1}$

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: $\frac{3k-4-k}{5-(-2)}=8$

Next, combine like terms: $\frac{2k-4}{7}=8$

Next, multiply both sides by 7: $2k-4=56$

Next, add 4 onto both sides of the equation: $2k=60$

Lastly, divide both sides by 2 and your answer will be $k=30$