Step-by-step explanation:
The given absolute value expression is
This absolute value function is of the form
where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
The x-intercept of the line is -6
The y-intercept of the line is 8
The slope of the line is
Step-by-step explanation:
You can find x-intercept by substitute y in the equation by zero
You can find y-intercept by substitute x in the equation by zero
If the equation of the line is ax + by = c, then
1. x-intercept ⇒ put y = 0
ax + b(0) = c
ax = c ⇒ divide both sides by a
x =
x-intercept =
2. y-intercept ⇒ put 0 = 0
a(0) + by = c
by = c ⇒ divide both sides by b
y =
y-intercept =
3. Slope ⇒ put the equation in the form y = m x + c, m is the slope
ax + by = c ⇒ subtract ax from both sides
by = c - ax ⇒ divide both sides by b
y = -
x
m =
Slope =
∵ 4x - 3y = -24
∵ ax + by = c
∴ a = 4 , b = -3 and c = -24
∵ x-intercept =
∴ x-intercept =
∴ x-intercept = -6
∵ y-intercept =
∴ y-intercept =
∴ y-intercept = 8
∵ m =
∴ m =
∴ m =
The x-intercept of the line is -6
The y-intercept of the line is 8
The slope of the line is
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Answer:
Step-by-step explanation:
General equation of ellipse :
Given: Vertices of ellipse : (± 9,0)
Since the vertices are of the form (± a, 0).
i.e. a=9
Thus, the major axis is along x-axis.
Also, foci of the ellipse = (±5,0)
Since, foci is of the form (± c,0), i.e. c=5
Since
Equation of ellipse :
Hence, the required equation :