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What is

(-1,1) y=x-4
its on parallel and perpendicular lines but i need to fine the slope-intercept form for the answer

1 Answer

7 votes

Answer:

see explanation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 4 ← is in slope- intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (- 1, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = x + 2 ← equation of parallel line

The slope of a perpendicular line is the negative reciprocal, thus


m_(perpendicular) = -
(1)/(m) = -
(1)/(1) = - 1

y = - x + c ← is the partial equation

To find c substitute (- 1, 1) into the partial equation

1 = 1 + c ⇒ c = 1 - 1 = 0

y = - x ← equation of perpendicular line

User Nawwar Elnarsh
by
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