Answer:
2x - y = 6
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
2x - y = 5 ( subtract 2x from both sides )
- y = - 2x + 5 ( multiply through by - 1 )
y = 2x - 5 ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
to find c, substitute (6, 6 ) for x and y into the partial equation
6 = 2(6) + c = 12 + c ( subtract 12 from both sides )
- 6 = c
y = 2x - 6 ← equation in slope- intercept form
( subtract 2x from both sides )
- 2x + y = - 6 ( multiply through by - 1 )
2x - y = 6 ← equation in standard form