Answer:
M = -2, b = 8, y = -2 + 8
Explanation:
points are at (6 , -4)
M is -2
Since the slope is negative the line has to go downward from left to right.
Also the slope tells you that the rise (difference in the y axis) has to be 2 times the run (difference in the x axis).
Use your first point on the line (6, -4) and find where the line will cross the y axis when x is 0 which is b.
Using y = mx + b
y = -2x + b
Plugin x = 6 and y = -4 in the above equation
-4 = -2*6 + b
-4 = -12 + b
-4 + 12 = b
b = 8
So your line crosses the y axis at (0, 8)
You can prove this by plugging in the y value in the same equation
y = mx + b
8 = -2x + 8
8 - 8 = 2x
0 = 2x so x=0
Now you equation can be determine also using y = mx + b. Plug in what you know so far.
M (slope) is -2, b you calculated to be 8 so
y = -2x + 8