Answer:
y = x +
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 ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = + c ⇒ c = 6 -
=
=
y = x +
← equation of line
Answer:
(c)
"The given statement is true, by definition of length of a vector ,
"
Step-by-step explanation:
(a)
That is completely correct Remember that if then
Therefore the correct answer would be (c).
"The given statement is true, by definition of length of a vector ,
"
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph