Question

What is an equation of the line that passes through the points (1,3) and (8,5)?

Answer 1

Answer:

y=2/7x+19/7

Step-by-step explanation:

Slope = m = (y₂-y₁)/(x₂-x₁) = (5-3)/(8-1) = 2/7

Therefore, our equation so far is y=2/7x+b where we can calculate b, the y-intercept by plugging in one of our given points [I used (1,3)]:

y=2/7x+b

3=2/7(1)+b

3=2/7+b

21/7=2/7+b

19/7=b

Therefore, our final equation is y=2/7x+19/7