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Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
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The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?
Oranges (lb) Price ($)
2--------- $3
3--------- $4.50
5--------- $7.50
Answer:
proportional relationship. Exist
Step-by-step explanation:
To check for propottionality:
2 = 3k
Solve for k = constant of proportionality
2/3 = 3k/3
2/3 = k
Quantity at price = 4.50
Price * k = quantity
4.50 * 2/3 = 3
Quantity at price = 7.50
Price * k = quantity
7.50 * 2/3 = 5
Hence, proportional relationship. Exist
Answer:
12) y = 2x + 8
13) ( -4, 3)
14) y + 3 = 1(x + 2) ; y = x - 1
Step-by-step explanation:
12) ( -2, 4) and (1, 10)
m=(y2-y1)/(x2-x1)
m= (10-4)/(1+2)
m=6/3
m = 2
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
13)
y - y1 = m(x - x1)
y - 3 = 2(x +4)
( -4, 3)
14) ( -2, -3) and (4, 3)
m=(y2-y1)/(x2-x1)
m=(3+3)/(4+2)
m=6/6
m=1
y - y1 = m(x - x1)
y + 3 = 1(x + 2)
y + 3 = x + 2
y = x - 1
Use distributive property here:
5k(-9) = -45k
(-10)(-9) = 90
-45k + 90
Answer:
The answer for this is x=-5