Question

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

Answer 1

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