Answer:
see explanation
Step-by-step 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 m =
(a)
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation of line B
To find c substitute (- 3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = x + 2 ← equation of line B
(b)
Given a line with slope m then the slope of a perpendicular line is
= -
= -
= - 3, thus
y = - 3x + c ← is the partial equation of line T
To find c substitute (- 3, 1) into the partial equation
1 = 9 + c ⇒ c = 1 - 9 = - 8
y = - 3x - 8 ← equation of line T