Answer:
The correct option is;
c.) y - 6 = -4(x - (-2))
Step-by-step explanation:
We note that the figure Randolph is creating is a rectangle, therefore, we have;
, therefore, we have;
∴ Slope = 1/4
must pas through the point (-2, 6)
Given that , we have;
y - 6 = -4(x - (-2))
Therefore, the correct option is c.) y - 6 = -4(x - (-2)).
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
→ Y = 3x + 4
→ Y = 3x + 4
→ Y = 7x
Hence, Value of Y = 7x
This process can only be done when we're using the way for linear equation (Shifting both sides) [Each value)..