Question

How do you find the equation of the line in function notation going through the points (1, 11/28) and (4, 8/7)?

Answer 1

Equation of the line: y = ax + b. Find a and b.
Write that the line passes at point (1, 11/28) and (4, 8/7)

(1) --> `11/28 = a + b`

(2) --> `8/7 = 4a + b`

(2) - (1) -> `3a = 8/7 - 11/28 = 32/28 - 11/28 = 21/28 = 3/4 -> a = 1/4`

`b = 11/28 - a = 11/28 - 1/4 = 4/28 = 1/7`

equation: y = x/4 + 1/7