Answer:
Step-by-step explanation:
The point-slope formula is 
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute 
, 
, and 
for real values.
1) First, find , or the slope. Use the slope formula 
and substitute the x and y values of the given points. Then, solve:
Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula, . Since represents the slope, substitute -10 in its place. Since and represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:
Answer:
y = -4
x = 3
Step-by-step explanation:
Let's first explain when x = 0
Find where x = 0 on the graph. We are finding what the y-value would be. Trace down the y-axis along the vertical line x = 0. Where does the line intersect the y-axis when x = 0? The answer would be -4
The y-intercept is -4, and the x-value for this is 0, of course. So the correct answer for when x = 0 would be y = -4.
Next, we are told to find x when y = -2. Find where y = -2. Now, staying at y = -2, go horizontally along the x-axis at y = -2 until you reach the line. Boom! You should have connected up with the line at around x = 3. Therefore, when y = -2, x = 3
Answer:
The correct answer is the first set {(-1, 8), (0, 5), (2, -1), (3, -4)}
Step-by-step explanation:
In order to determine if the set works, input each ordered pair to see if the statement ends up true. The first two ordered pairs are done below.
(-1, 8)
f(x) = -3x + 5
8 = -3(-1) + 5
8 = 3 + 5
8 = 8 (TRUE)
(0, 5)
f(x) = -3x + 5
5 = -3(0) + 5
5 = 0 + 5
5 = 5 (TRUE)
Answer:
Absolute error = 39
Percent Error = 6.10%
Step-by-step explanation:
Actual value = 639 pounds
Observed Value = 600 pounds
The formula to find absolute error is:
Absolute Error = Actual value - Observed Value
= 639 - 600
= 39
The formula to find Percent error is:
Percent Error = (Actual value - Observed Value / Actual value)*100
= (639 - 600/639)*100
= 6.10%
