Always, ALWAYS remeber this format: y = mx + b
In this equation, 'm' is the slope, and 'b' is the y-intercept
When you're trying to find a slope, remember that the equation is
When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.
In this, case, the rise is -3, and the run is 2. This means that the slope is
Now we have the first part of our equation:
y = - + b
But wait! How do we find b?
Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!
The point of the line that is on the y-axis is called the y-intercept.
In this graph, the y-intercept is -1
Now we have our complete equation!
y = - - 1
Good luck!
Answers:
- Choice B) y = (1/4)x
- The unit rate is <u> 3.89 </u> dollars per pound. It costs <u> 23.34 </u> dollars for a turkey that weighs 6 pounds.
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Explanations:
- Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
- Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.
The answer to this question is that Joanna used 2 kiwis in each fruit cup. We can work this out in the following way:
5 x 5 = 25
8 x 4 = 32
3 x 5 = 15
40 - 32 = 8
15+25 = 40
1 km = 0.621371 miles
5 km = 5 x 0.621371 = 3.106855 miles
1 mile = 5,280 feet
3.106855 miles x 5,280 = 16,404.1944 feet
1 foot = 12 inches
16,404.1944 feet x 12 = 196,850.3328 inches
2x-3y=13 equation (1)
x+2y=-4 equation (2)
multiply equation (2) by -2
-2x-4y=8 now we got equation (3)
Add equations(1) and (3) and combine like terms
2x-2x-3y-4y=13+8
-7y=21
y=-21/7= -3
substitute y with -3 in equation (2) and solve
<span>x+2(-3)=-4
</span>x-6=-4
x= -4+6
x=2
the solution for the system of equations is x=2, y= -3