(-4/5) (15/8) (7/3) (-1)
1 answer:
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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 - 6 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = x - 4 ← equation of parallel line
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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 (9, 2) into the partial equation
2 = - + c ⇒ c = 2 +
=
y = - x +
← equation of perpendicular line
As the mapping suggests, the first (x) coordinate is decreased by 3, and the second (y) coordinate is increased by 2. So, given the inputs, you have
And yes, this rule is a function: it has a starting set (the domain), which is all possible couples , and a landing set (the codomain), which is again composed by the couples
. Since for every point in the domain you have one and only one output, this rule is a function.