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13 votes
13 votes
7.

Find the slope of the line.


A.
(1)/(4)

B. –4

C. 4

D.
-(1)/(4)

7. Find the slope of the line. A. (1)/(4) B. –4 C. 4 D. -(1)/(4)-example-1
User Beets
by
2.6k points

1 Answer

10 votes
10 votes

Answer: The answer is either letter A or letter C

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =

ΔY

ΔX

=

-1

5

= -0.2

θ =

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =

ΔY

ΔX

=

5

-1

= -5

θ =

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A

(

x

A

,

y

A

)

= (3, 2)

Point B

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

m

=

10

2

7

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A

(

x

A

,

y

A

)

= (3, 2)

Point B

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

m

=

10

2

7

3

=

8

4

m = 2

Step-by-step explanation: This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

7. Find the slope of the line. A. (1)/(4) B. –4 C. 4 D. -(1)/(4)-example-1
User Alapeno
by
2.7k points