The point A(0,3) and point B(4,19) lie on the line L. Find the equation of line L
1 answer:
Answer: The equation is y = 4x+3
Slope = 4
y intercept = 3
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Explanation:
Let's start off by finding the slope.
The slope is 4.
The y intercept is 3 because of the point (0,3)
We go from y = mx+b to y = 4x+3
m = slope
b = y intercept
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Check:
Plug in x = 0 and we should get to y = 3
y = 4x+3
y = 4(0)+3
y = 0+3
y = 3
That works out. Now try x = 4. It should lead to y = 19
y = 4x+3
y = 4(4)+3
y = 16+3
y = 19
The answer is confirmed.
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Answer:
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form
is a factor of a polynomial
if and only if
(that is: replacing all
in the polynomial
with the constant
would give this polynomial a value of
.)
For example, in the second linear factor , the value of the constant is
. Verify that the value of
is indeed
. (In other words, replacing all
in the polynomial
with the constant
should give this polynomial a value of
.)
.
Hence, is indeed a linear factor of polynomial
.
Similarly, it could be verified that and
are also linear factors of this polynomial function.
Rewrite the first linear factor in the form
for some constant
:
, where
.
Calculate the value of .
.
implies that
(which is equivalent to
) isn't a linear factor of this polynomial function.