Answer:
y = - 5x - 1 and y =
x + 8
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
14
y = - 5x + 4 ← is in slope- intercept form
with slope m = - 5
• Parallel lines have equal slopes , then
y = - 5x + c ← is the partial equation
to find c substitute P (- 1, 4 ) into the partial equation
4 = - 5(- 1) + c = 5 + c ( subtract 5 from both sides )
- 1 = c
y = - 5x - 1 ← equation of parallel line
15
y + 3x = 13 ( subtract 3x from both sides )
y = - 3x + 13 ← in slope- intercept form
with slope m = - 3
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c ← is the partial equation
to find c substitute P (6, 10 ) into the partial equation
10 =
(6) + c = 2 + c ( subtract 2 from both sides )
8 = c
y =
x + 8 ← equation of perpendicular line