Question

The slope, m, of a linear equation can be found using the formula
`m = (y_2 - y_1)/(x_2 - x_1)`, where the x- and y-values come from two ordered pairs, and (x₁, y₁) and (x₂, y₂). What is an equivalent equation solved for y₂? a. y₂ = mx₂ – x₁ + y₁ b. y₂ = mx₂ – x₁ – y₁ c. y₂ = m(x₂ – x₁) + y₁ d. y₂ = m(x₂ – x₁) – y₁

Answer 1

Answer c:
`m(x2 - x1) + y1 = y2`

Explanation:

Hi there!

Let´s start writting the formula

`m = (y2 -y1)/(x2-x1)`

If we multiplicate both sides by (x₂ - x₁):

`m(x2 - x1) = y2 - y1`

Then if we add y₁ to both sides of the equation:

`m(x2 - x1) + y1 = y2`

Then, the right answer is the answer c)

Have a nice day!