Answer:
y - 5 = 6(x + 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 6 and (a, b) = (- 9, 5), thus
y - 5 = 6(x - (- 9)), that is
y - 5 = 6(x + 9)
9514 1404 393
Answer:
y = 5 -x
6x +3(5 -x) = 27
Step-by-step explanation:
The first equation is conveniently solved for either x or y. If we solve it for y, we get ...
y = 5 - x . . . . . . subtract x from both sides
This expression for y can be substituted into the second equation to give ...
6x +3(5 -x) = 27
These are your new system of equations.
Simplified, they are ...
_____
The second is a 2-step equation that gives the value of x, which can then be used in the first equation to find y.
3x = 12 . . . . subtract 15
x = 4 . . . . . . divide by 3
y = 5 -4 = 1 . . . . substitute into the first equation
The solution is (x, y) = (4, 1).
Answer:
A
Step-by-step explanation:
The mean is the sum of all the values divided by the number of values.
Mean = 
When 1213 is added to the data set, new mean is:
New Mean = 
<u><em>Definitely</em></u>, the mean increases. Correct answer is A
Answer:
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Step-by-step explanation:
(3,3), (5,7), and (6,9) are points on line A.
Use the coordinates of two of the points to find the slope of A.
Δy =7-9 = -2
Δx =5-6 = -1
Slope = Δy/Δx = 2
Equation for line of slope 2 that passes through (3,3):
y-3 = 2(x-3)
y = 2x-3
(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.
You were given the equation for C: y = 3x+1. Slope = 3
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
