Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
y
=
3
7
x
−
12
7
y=\frac{3}{7} x-\frac{12}{7}
y
=
7
3
x
−
7
12
\newline
What is the
slope
of the graph of the given equation?
View step-by-step help
Home
Math Problems
Calculus
Find derivatives of exponential functions
Full solution
Q.
y
=
3
7
x
−
12
7
y=\frac{3}{7} x-\frac{12}{7}
y
=
7
3
x
−
7
12
\newline
What is the slope of the graph of the given equation?
Identify Equation Form:
The equation given is in the
slope-intercept form
, which is
y
=
m
x
+
b
y = mx + b
y
=
m
x
+
b
, where
m
m
m
is the slope and
b
b
b
is the
y
y
y
-intercept.
Find Coefficient of
x
x
x
:
To find the slope of the graph of the given equation, we need to identify the coefficient of
x
x
x
in the equation
y
=
3
7
x
−
12
7
y = \frac{3}{7}x - \frac{12}{7}
y
=
7
3
x
−
7
12
.
Calculate Slope:
The coefficient of
x
x
x
in the equation is
(
3
7
)
\left(\frac{3}{7}\right)
(
7
3
)
, which represents the slope of the line.
Final Slope Value:
Therefore, the slope of the graph of the given equation is
(
3
7
)
(\frac{3}{7})
(
7
3
)
.
More problems from Find derivatives of exponential functions
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
cos
(
x
)
f(x) = \cos(x)
f
(
x
)
=
cos
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 10 months ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
tan
(
x
)
f(x) = \tan(x)
f
(
x
)
=
tan
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
x
f(x) = e^x
f
(
x
)
=
e
x
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
ln
(
x
)
f(x) = \ln(x)
f
(
x
)
=
ln
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
tan
−
1
x
f(x) = \tan^{-1}{x}
f
(
x
)
=
tan
−
1
x
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
x
e
x
f(x) = x e^x
f
(
x
)
=
x
e
x
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
x
x
f(x) = \frac{e^x}{x}
f
(
x
)
=
x
e
x
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
(
x
+
1
)
f(x) = e^{(x + 1)}
f
(
x
)
=
e
(
x
+
1
)
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 10 months ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
x
+
3
f(x) = \sqrt{x+3}
f
(
x
)
=
x
+
3
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
g
(
x
)
g(x)
g
(
x
)
.
\newline
g
(
x
)
=
ln
(
2
x
)
g(x) = \ln(2x)
g
(
x
)
=
ln
(
2
x
)
\newline
g
′
(
x
)
=
g^{\prime}(x) =
g
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant