Question

A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?

Answer 1

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1$

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3