Answer:
Step-by-step explanation:
As x increases four units from -4 to 0, y decreases four units from 0 to -4
slope m = Δy/Δx = -4/4 = -1
The y intercept is at (0, -4) so b = -4
y = -1x + -4
y = - x - 4
as m is negative, slope is negative
Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
Answer:
A=5, B=3y
Step-by-step explanation:
Please see attached picture for full solution
Where is the picture for the problem?
There are two ways to approach this question. The first is to divide both sides of the equation by 1/4, which is the same as multiplying by 4.
4*(-10)=4*(1/4)(8y-12)
-40=1(8y-12)
-40=8y-12
-40+12=8y-12+12
-28=8y
-28/8=8y/8
-3.5=y
Another method is to distribute 1/4 to each term within the parentheses.
-10=8y*(1/4) - 12*(1/4)
-10=2y - 3
-10+3=2y - 3 +3
-7=2y
-7/2= 2y/2
-3.5=y
I hope this is helpful!