Question

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

Answer 1

Equation A best represents the equation

Answer 2

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 = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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