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
#SPJ1
4x-1=18
4x=18+1
4x=19
x=19/4
Answer:
What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 5 minutes?
Step-by-step explanation:
If we know:
And there are 60 minutes in an hour:
We can do:
From here, we figure out the distance from minutes:
The slope of the line in the table given is 11
<h3>Slope of a Line</h3>
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by
m = y₂ - y₁ / x₂ - x₁
Taking two points from the table
m = 1172 - 864 / 72 - 44
m = 11
The slope of the line is 11
Learn more on slope of a line here;
brainly.com/question/16949303
#SPJ1
