Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
A.
y
=
−
2
x
−
3
.
Explanation:
First, rewrite the equation in slope-intercept form:
y
=
m
x
+
b
.
−
x
+
2
y
=
4
⇒
2
y
=
x
+
4
⇒
y
=
1
2
x
+
2
So the slope of the given line is
m
=
1
2
.
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope
m
, then a line perpendicular to this has slope
m
*
=
−
1
m
. That means the slope of our perpendicular line is
m
*
=
−
1
1
/
2
=
−
2
.
Knowing the new slope and a point, we can find an equation for our perpendicular line by using the slope-point equation
y
−
y
1
=
m
(
x
−
x
1
)
, or by plugging in the given
(
x
,
y
)
point (and the new slope
m
*
) into
y
=
m
x
+
b
to find
b
for the new line.
y
−
y
1
=
m
(
x
−
x
1
)
⇒
y
−
1
=
−
2
[
x
−
(
−
2
)
]
⇒
y
−
1
=
−
2
[
x
+
2
]
⇒
y
=
−
2
x
−
3
or
y
=
m
x
+
b
⇒
1
=
−
2
(
−
2
)
+
b
⇒
1
=
4
+
b
⇒
b
=
−
3
∴
y
=
m
x
+
b
becomes
y
=
−
2
x
−
3
.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Okay so we plug in the values for x and y to make the equation:
1 - 2 x -6 = 4
And then we just solve the left side:
2 x -6 = -12
1 - -12 = 1 + 12 = 13
So this is false
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.