The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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Answer:
Solution:
Given, cost price = $784.50
Profit = 6.5% of cost price
= 6.5/100 × $784.50
= $50.9925 [since, profit% is always on C.P.]
And selling price = cost price + profit
= $784.50 + $50.9925
= $835.4925
Hence, selling price = $835.4925
Answer:
Step-by-step explanation:
(
−
∞
,
−
3
)
∪
(
7
,
∞
)
Solve each inequality separately, then combine them with the "or" operator, and then simplify if possible.
Let's start with the first inequality:
−
6
x
+
14
<
−
28
−
6
x
<
−
42
6
x
>
42
x
>
7
Now, we solve the second inequality:
9
x
+
15
<
−
12
9
x
<
−
27
x
<
−
3
Combining the two, we get:
x
<
−
3
or
x
>
7
This cannot be simplified, since the two solution regions do not overlap. The more formal way to write this (with interval notation) is:
(
−
∞
,
−
3
)
∪
(
7
,
∞
)
Hope this helps
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Answer:
208
Step-by-step explanation:
(14x9)+(10x7)+(3x4) = 208
Equation D
Whenever an equation has exponents, square roots, etc., it will NOT graph as a straight line.