Answer: y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2
Step-by-step explanation:
Answer:
0.333 units³
Step-by-step explanation:
Think process:
The equation is given as y =
Let, y = f (x)
Therefore,
We know that the limits are y-axis and x= 3
Y-axis: x= 0
then limits are given as x= 0 and x = 3
Integrating gives:
= + C
calculating from x= 0 to x = 3, we know volume is given by
= [ ]
= [0.000041136 + 1/3]
= 0.333 units³
The answer to this question is true
Y = mx + b; b = 6
<span>1 = 4m + 6; m = -5/4 </span>
<span>-5/4 = (1 + 2k) / (4 - k - 3) = (2k + 1) / (1 - k) </span>
<span>-5(1 - k) = 4(2k + 1) </span>
<span>5k - 5 = 8k + 4 </span>
<span>-3k = 9 </span>
<span>k = -3</span>
X is hours
30x + 97 = 217
30x + 97 - 97 = 217 -97
30x = 120
30x/30 = 120/30
x = 4
They took four hours to fix Ben’s sink.