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Answer:
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-intercept
In this problem we have
substitute and solve for b
The equation of the line is equal to
Answer:
y = - x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = - x - 3 ← equation of perpendicular line