What is the slope intercept form equation of the line that passes through (3, 4) and (5, 16)?
Answers
It is convenient to start with the 2-point form of the equation for a line.
... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)
Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get
... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points
... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit
... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses
... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form
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We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 1209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg = 7.903 + ( 0.993 × city mpg ) (a) What is the slope of this line? (Enter your answer rounded to three decimal places.) slope: What does the numerical value of the slope tell you?
3x - (7x -2) + 2 = 10
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The required reflection of the point (0, -8) on the line y = -x is (8, 0).
To determine the image of (0, -8) after a reflection over the line y = -x.
What is the equation?
the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).
Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).
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Answer:
(8,0)
Step-by-step explanation:
could be negative 8 but it said positive 8
positive works
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check the picture below.
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The graph of the Equation y= 3x- 5 with coordinates (0, 5) and (1.667, 0) is attached below.
We have,
y= 3x - 5
Now, to find the coordinates to plot one the graph put the distinct value of x as
For x= 0
y= -5
then, for x= 1
y= 3 - 5
y= -2
then, for x= 2
y= 6-5
y= 1
and, for x= 3
y= 9 - 5
y= 4
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slope intercept form is
y=mx+b
where m is the slope and b is the y intercept
the equation is given in slope intercept form so that the
slope = 3
y-intercept = -5
to graph this you will first place a point on (-5,0) since it's the y intercept.
then since the slope is rise/run and we have 3 (or 3/1) you will start at (-5,0), and from there go up 3 units and to the right one unit. where you end up will be your second point.
hope this helps
Answers
60 girls.
Answers
5 and 6 , 5.292
7 and 8 , 7.874
8 and 9 , 8.718
10 and 11 , 10.247
B. -16t^2+1000<_ 300
C. -16t^2+1000>_300
D.-16t^2+1000>300
Answers
Answer:
D. is the correct answer.
Step-by-step explanation:
It is given that Distance, d above ground with time 't' is given by the formula:
The negative sign with indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.
For example, if t = 0, d = 1000 feet
If t = 2, d = -16 4 + 1000 = 936 feet
We can clearly see that when 't' is increasing, the distance 'd' is decreasing.
And at a certain time, the object will be on ground when d = 0 feet.
Inequality for the distance greater than 300 feet i.e.
d > 300 feet
Hence, the inequality will be:
is the correct answer.