Solution
Step 1
Write the two points:
(4,2) and (6,10)
Step 2
Use the two points equation of a line formula to write the equation of a line.
[tex]\begin{gathered} \left(4,2\right)and\text{ \lparen}6,10) \\ (x_1,\text{ y}_1)\text{ = \lparen4,2\rparen} \\ \\ (x_2,y_2)\text{ = \lparen6, 10\rparen} \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]
Step 3
Substitute into the formula
[tex]\begin{gathered} \frac{y-2}{x-4}=\frac{10-2}{6-4} \\ \\ \frac{y-2}{x-4}=\frac{8}{2} \\ \\ \frac{y-2}{x-4}=4 \\ \\ y\text{ - 2 = 4\lparen x-4\rparen} \\ \\ y\text{ - 2 = 4x - 16} \\ \\ y\text{ = 4x - 16 + 2} \\ \\ y\text{ = 4x - 14} \end{gathered}[/tex]
Final answer
