Q:

Passing through (2, 3) and PARALLEL to y = x - 4​

Accepted Solution

A:
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 -4Now, if the equation is of the form y = m x + cm is the slope of the equation.So, here the slope of Line 1 =  m1   = 1Also, 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