MATH SOLVE

3 months ago

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