Answer:
The equation of the line is y = -1.5x + 3
The y-intercept is (0,3)
The value of k is 3.
Step-by-step explanation:
y - 0 = -1.5 (x - 2)
y = -1.5x + 3
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
Answer:
15
Step-by-step explanation:
(-7,0) and (8,0) are on the opposite side of origin of x axis
d = 8 - -7 = 15
Answer:
4:10.
Step-by-step explanation:
4:10 would be one.