1) find the equation for the line passing through the pair of points: p(2,3) and q(5,6)
1) find the equation for the line passing through the pair of points: p(2,3) and q(5,6)
Answer
Explanation:
Step1: Calculate the slope (m)
The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Given (P(2,3)) as ((x_1,y_1)) and (Q(5,6)) as ((x_2,y_2)), then (m=\frac{6 - 3}{5 - 2}=\frac{3}{3}=1).
Step2: Use the point - slope form (y - y_1=m(x - x_1))
Using point (P(2,3)) and (m = 1), we have (y-3=1\times(x - 2)).
Step3: Simplify the equation
(y-3=x - 2), which simplifies to (y=x+1).
Answer:
(y=x + 1)