Answer:
The equation of line passing through (2, 3) and parallel to y = x - 4 is given as y - x - 1 = 0
Step-by-step explanation:
Here, the general equation lo Line 1 is y = x -4
Now, if the equation is of the form y = m x + c
m is the slope of the equation.
So, here the slope of Line 1 = m1 = 1
Also, the line 2 is parallel to the line 1,
SLOPE OF LINE 1 = SLOPE OF LINE 2
⇒ Slope of line 2 = 1 and the point on the line is given as (2,3)
Now, by POINT SLOPE FORMULA:
The equation of a line is given as (y - y0) = m (x -x0)
Hence, the equation of line 1 is ( y - 3) = (1) ( x- 2)
or, y - x - 1 = 0 is the needed equation.
Hence, The equation of line passing through (2, 3) and parallel to y = x - 4 is given as y - x - 1 = 0
