Hello!
Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.
y = mx + b (substitute the slope and point P)
2 = 2(8) + b (multiply)
2 = 16 + b (subtract 16 from both sides)
b = -14
Therefore, the equation is y = 2x - 14.