Question

Find the equation of a line that passes through the points (2,2) and (3,6).Leave your answer in the form y=mx+c

Answer 1

Solution

Step 1:

Write the coordinates (2,2) and (3,6).

Step 2:

$\begin{gathered} Write\text{ the two points equation of a line formula} \\ \frac{y-y_1}{x\text{ - x}_1}\text{ = }\frac{y_2-\text{ y}_1}{x_2-\text{ x}_1} \end{gathered}$

Step 3

Write the given value

$\begin{gathered} x_1\text{ = 2} \\ y_1\text{ = 2} \\ x_2\text{ = 3} \\ y_2\text{ = 6} \end{gathered}$

Step 4

Substitute in the formula

$\begin{gathered} \frac{y-2}{x-2}=\text{ }\frac{6-2}{3-2} \\ \frac{y-2}{x-2}\text{ = }\frac{4}{1} \\ y\text{ - 2 = 4\lparen x - 2\rparen} \\ \text{y - 2 = 4x - 8} \\ y\text{ = 4x -8+ 2} \\ \text{y = 4x - 6} \end{gathered}$

Final answer

y = 4x - 6