Answer:
2x - 3y = -1
Step-by-step explanation:
Standard form: Ax + By = C
Given: slope = 2/3 and passes through the point (1,1)
Point slope form: y - y1 = m(x - x1)
Plug in
y - 1 = 2/3(x - 1)
Multiply both sides by 3
3(y - 1) = 2(x -1)
Distributive property
3y - 3 = 2x - 2
Since standard form: Ax + By = C so you can re-write the equation:
2x - 2 = 3y - 3
Subtract 3y from both sides
2x - 3y = -3
Add 2 to both sides
2x - 3y = -1
Answer in standard form: 2x - 3y = -1
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
Answer:
x = -3
Step-by-step explanation:
x is -3 in all values so we just write an equation.
Answer:
option d is correct
Step-by-step explanation:
hope this helps ;)
