Question

What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4

y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help

Answer 1

y = 3/4 x + 1/4

Explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b b = y - mx ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7): 3/4 * 9 + 1/4 = 28/4 = 7