Answer =-3 or -3/1
You can either do rise/run
Or you can find two points on the line and do (y2-y1)/(x2-x1)
Two points on the line are (-1,2) and (-3,-4)
X1=-1 Y1=2
X2=-3 Y2=-4
(y2-y1)/(x2-x1) = (-4-2)/(-3-(-1)) =(-6)/(-3+1)
=-6/-2 = -3
So slope =-3/1 or -3 (same thing)
I believe that that day, 111 children attended the museum.
Answer:
y = 6x - 13
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 = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = 
= 
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
F(x) = 3x³ - 12x² - 15x
1) Factor Outside: 3x( x² - 4x - 5)
Factor Inside: 3x(x + 1)(x - 5)
2) Set Equal To 0:
3x = 0
x + 1 = 0
x - 5 = 0
3) Solve:
x = 0, -1, 5
Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0
