C) 1/5 th is the correct answer. Slope is rise over run. You go up 1 and then you go to the right 5. Since the line is facing right it is positive.
X + y = 8
Replace y as y = y Insert x back into the original
x + x - 2 = 8 5 + y = 8
2x - 2 = 8 - 5 - 5
+ 2 + 2 y = 3
2x = 10 (5, 3)
--- ---
2 2
x = 5
Answer:
y = x + 30
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 30) and (x₂, y₂ ) = (70, 40) ← 2 points on the line
m = = =
The line crosses the y- axis at (0, 30) ⇒ c = 30
y = x + 30 ← equation of line
Answer:
Step-by-step explanation:
given that the following linear regression prediction equation: Y = 12 + –1x
Here slope = -1
Whenever regression slope is negative, we can say that the two variables x and y are negatively correlated.
In other words, when y increases x decreases and vice versa.
The relationship between the variables is negative or inverse.
The graph of this line with negative slope shows the line as moving from top left to bottom right
Here slope = -1
Hence for unit increase in x, there is one unit increase in y.
-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value") = -b / (2*a)
(vertex "x value") = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.
Source:
http://www.1728.org/quadr3.htm