Question

what is the slope of the line that passes through the given points (3 2) and (5 12)

Answer 1

Use the slope formula, the slope of the line through points (x1, y1) and (x2, y2) is
(y2 - y1)/(x2 - x1).
It doesn't make a difference which point you call (x1, y1) and which you call (x2, y2).
In your case,
slope = (12 - 2)/(5 - 3)
Simplify the fraction

Answer 2

Thank you sooooo muchhhh !!!! I have another one also ! And the way you explained it , made it so easy to understand!

what is an equation of the line in slope intercept form m=2/7 and the y intercept is (0 -12)

Answer 3

The slope intercept form of an equation is
y = mx + b,
where m = slope (in your case m = 2/7), and the b is the y-intercept. The y-intercept is the y-coordinate of the the y-intercept ordered pair (in your case (0, 12), so b = -12)
Just replace m and b with your numbers and that's it.

Answer 4

Thank you !!