Answer:
2x - y = 2
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (4,6) and (6,10). After, substitute the slope and a point into the point slope form.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{10-6}{6-4}= \frac{4}{2} = 2[/tex]
Substitute m = 2 and the point (4,6) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y -6 = 2(x-4)\\y-6 = 2x - 8 \\\y = 2x - 2 \\ 2x -y = 2[/tex]
