Question

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Find the slope of a line that passes through the points (-3,-1) and (0, 3)

The y - intercept of the line whose equation is 3x-2y=6 is

Answer 1

(3,6) (5,3)
(x1,y1)(x2,y2)

The slope equation is: y2-y1
---------
x2-x1

Replace with numbers: 3-6/5-3

Minus 3 and 6 is equal to -3

Minus 5-3 is 2

So the fraction is -3/2 (no need to divide because you can't simplify it)

So the slope is -3/2

For the equation you have to replace the letters by 0's

3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0

-2y=6

Divide -2y from the 6

-2y=6
---- ---
-2 -2

y=3

The y intercept is 3 with the slope of -3/2