Answer:
y = 2x - 7
Explanation:
Given equation:
y = 2x + 5,
Coordinates given = (4, 1)
Unknown:
Line parallel to this one = ?
Solution:
The equation of any straight line is given as;
y = mx + c
x and y are the coordinates
m is the slope
c is the y-intercept
A line parallel to the given one will have a slope that is the same with it.
y = 2x + 5, ;
the slope here is 2;
So;
y = mx + c; find c;
1 = 2(4) + c
c = 1 - 8 = -7
The equation of the line is therefore;
y = 2x - 7
