Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?
2 answers:
You might be interested in
Answer:
all work is answer and shown and pictured
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem the given line represent a proportional relationship, because passes through the origin
we have
---> the constant of proportionality k is equal to the slope
substitute
The linear equation is
To draw a line we need two points
we have (0,0)
To find the other point
assume x=3 and substitute in the equation to solve for y
so
The other point is (3,4)
using a graphing tool
Plot the points (0,0) and (3,4)
To graph the line join the points
see the attached figure
I hope this helps you
