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3 years ago

What is the slope of the line represented by the equation y = x – 3?

Mathematics

2 answers:

lyudmila [28]3 years ago

5 0

<span>What is the slope of the line represented by the equation?
</span>C. 4/5

pychu [463]3 years ago

3 0

Answer:

Option (3) is correct.

Slope of the given equation $y=\frac{4}{5}x-3$ is $\frac{4}{5}$

Step-by-step explanation:

Given equation $y=\frac{4}{5}x-3$

We have to find the slope of the above line.

Way 1)

An equation of the form y=mx+b, where m is the slope and b is the y-intercept.

Comparing we get $m=\frac{4}{5}$

Way 2)

Slope can be find by evaluation derivative of the given line with respect to x,

Derivative $y=\frac{4}{5}x-3$ with respect to x, we get,

$\frac{dy}{dx}=\frac{4}{5}$

Thus, slope of the given equation $y=\frac{4}{5}x-3$ is $\frac{4}{5}$

Thus, option (3) is correct.

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Answer the equation according to the directions

Alchen [17]

Answer: 2x^9 Hope this helps!

5 0

3 years ago

Write an equation in point slope form for each line<br> Slope is 3 and (-2,-1) is on the line

elena-14-01-66 [18.8K]

Answer:

$\huge \blue{y + 1 = 3(x + 2) } \\$

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

From the question we have the final answer as

$y + 1 = 3(x + 2)$

Hope this helps you

6 0

3 years ago

(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

$\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 } } \right) }{ \left( 1-{ x }^{ \frac { 1 }{ 2 } } \right) }$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot 1$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

$\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }$

$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\} }{ \left( 1-x \right) }$

$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

3 years ago

Read 2 more answers

The company proposes a new cereal box with NEW dimensions,

Tpy6a [65]

Answer:

The volume of the new box is 315 in²

Step-by-step explanation:

When finding volume, you need to multiply length, width, and height.

10.5 x 7.5 x 4 = 315 in²

Hope this helps! Pls mark brainliest

6 0

2 years ago

Question 7 (1 point)

Otrada [13]

Answer:

(6, 9) (3, 0)

Step-by-step explanation:

Solve for each option using the slope formula:

Slope formula:

m = y2 - y1 / x2 - x1

m = 4 - 5 / 1 - 4

m = -1/-3

m = 1/3

This is not 3.

m = 0 - 9 / 3 - 6

m = -9 / -3

m = 3

This has a slope of 3!

m = 0 - 0 / -6 - 3

m = 0/ -9

m = 0

This is not 3.

m = 2 - 1 / 0 - 3

m = 1/-3

m = -1/3

This is not 3.

5 0

2 years ago