Question

Write the slope-intercept form of the equation of the line which passes through the points (1, 6) and (2, 9).

Answer 1

We will put it in point-slope form and then convert it.
First find the slope using the slope formula.
\[m = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]
m = 9 - 6 / 2 - 1
m = 3 / 1
m = 3
Plug the slope and one of the points into point-slope form.
y - 9 = 3(x - 2)
Now we'll convert this equation to slope-intercept form.
Distribute.
y - 9 = 3x - 6
y = 3x + 3 <-- this is your answer. :)

Answer 2

thank you