Answer:
m=3, y-int=-1
Step-by-step explanation:
y-3x=-1, reorganize this into y=mx+b by moving -3x to the right side.
y=3x-1, remember that in y=mx+b, m=slope, which is 3 as you can see easily.
The y-intercept is when x=0. So plug this into y=3(0)-1, which is just y=-1.
Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.
<h3>
Answer: x = -3/k</h3>
==============================================
Work Shown:
kx+7 = 4
kx+7-7 = 4-7 .... subtract 7 from both sides
kx = -3
kx/k = -3/k .... divide both sides by k
x = -3/k
The value of k cannot be zero. As the steps show, we are following PEMDAS in reverse to undo each operation to help isolate x. Subtraction is the opposite of addition, and division is the opposite of multiplication.
Answer:
6
Step-by-step explanation:
The ordered pairs that satisfy the inequality are shown in the attachment. There are 6 of them.