Question

What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?

Answer 1

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{22 - 7}{8 - 5} = \frac{15}{3} = 5$

    y = mx + b
    7 = 5(5) + b
    7 = 25 + b
- 25  - 25
  -18 = b
     y = 5x - 18