Hey there. So first we need to know what the point slope form looks like.
It is Y-Y1=M (X-X1)
Knowing this you just plug in the given information.
M is equal to 1/6. So in this case all of the options have the correct m. Next we look at the Year value. We know Y is a positive 4. So the beginning of the equation is going to look like
Y+4=1/6 ( X-X1).
Nown plug in x. It would be a negative 5. Now your final answer would be option A. Hope the explanation helped.. :)
Answer:
11 + 16n
Step-by-step explanation:
Collect the like terms
2 + 9 = 11
10n + 6n = 16n
11 + 16n is the final answer, and cannot be simplified further
A. 100/20
The distance in meters should be divided by the time in seconds to get the value of the distance in meters travelled in one second.
The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
Read more about linear equations at
brainly.com/question/4074386
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The answer would be 15,120
