What is the equation of the line, in slope-intercept form, that contains the points (−1, 5) and (2, 2)?y = −3x + 4 y = −x + 1 y = x + 4 y = −x + 4
Answers
So,
First, we need to find the slope by subtracting the y-values and subtracting the x-values.
5 - 2 = 3 -1 - 2 = -3
Now divide the y-result by the x-result. 3/-3 = -1 <-- slope
y = -x + b <-- equation so far
To find the y-intercept, substitute a solution into the equation.
2 = -2 + b
Add 2 to both sides. 4 = b
Now we have our complete equation. y = -x + 4 <-- option D
y=mx+b m=slope b=yintercept slope=(y2-y1)/(x2-x1)
given the points (-1,5) and (2,2) slope=(2-5)/(2-(-1))=-3/(2+1)=-3/3=-1 y=-1x+b sub a oint (2,2) x=2 y=2 2=-1(2)+b 2=-2+b add 2 4=b
y=-x+4
in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline???
Solving for y means trying to get the equation into the form y= _____. So, let's say that we are going to keep the y value on the left side of the equation.
First, we would subtract ax from both sides. This results in the equation by=c-ax.
Next, we figure out that y has a coefficient of b. They are combined together by multiplication, so to undo this operation, we need to divide both sides by b.
If done correctly, your final answer should be. Or, y=c-ax/b
How many packages will 5 1/2 pounds of raisins fill if each package holds 9 ounces
Answers
well there are 16 ounces in a pound... so u need to have 16 x 5 = 80 and 16 x 1/2 = 8 so 80 + 8 = 88. then u need to do 88 ÷ 9 which would equal less than 10 but greater than nine, so u need to round it to the next whole number so it would be 10 because its okay if one container isn't completely full
Where does the irrational number 1.8693… fall?
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if you want just round to 1.9
16 is 25% of what number
Answers
So the question is 16 is 25% of what number (x)
In math "is" means equals "of" means times
The question translates to
16 = 25% * x 16 = .25x 16/.25 = x 64 = x
x = 64
16 is 25% of 64
25% of 16 can be written as:
25% × n = 16 (Where n represents the number which 16 will be 25% of)
25% × n is the same thing as saying:
1/4 × X = 16 X/4 = 16 X/4 × 4 = 16 × 4 X = 64
This may be a bit confusing, if you require clarification, let me know!