Question

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

A) y = x + 1
B) y = 1
C) y = 2x + 1
D) y = 5x + 8

Answer 1

From the question, we know that
(x₁,y₁) = (4,5)
(x₂,y₂) = (8,9)

Find the slope of the line with the formula of slope
m =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

Input the numbers
m =
`\cfrac{9-5}{8-4}`
m = 4/4
m = 1
The slope of the line is 1

Using this formula, determine the line equation
y - y₁ = m(x - x₁)

Input the numbers
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x - 4 + 5
y = x + 1
The correct answer is first option

Answer 2

Equation A best represents the equation