Question

Write an equation of the line passing through the points (4,6) and (-2, - 18).

Answer 1

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

point-slope formula: $y-y_{1}=m\left(x-x_{1}\right)$

1. Use slope formula and plug in your numbers: $m = \frac{-18-6}{-2-4 }$
2. Solve for slope $m = 4$
3. Use the point-slope formula to solve for the equation: $y-6=4\left(x-4\right)$
4. Solve and find equation: $y=4x-10$

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!