Question

What is the slope of the line that passes through the points (7,1) (-10,8)​

Answer 1

Answer:

$\frac{-7}{17}$

Step-by-step explanation:

To find the slope simply use the rise over run.

The change in y value (rise) from (7,1) to (-10,8) is y=1-8

The change in x value (run) from (7,1) to (-10,8) is y=7-(-10)

As a fraction this can be modeled by $\frac{1-8}{7-(-10)}$

$\frac{-7}{17}$ is the slope as it is rise over run and cannot be simplified further.

Answer 2

To calculate the slope use the

gradient formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

m

=

y

2

−

y

1

x

2

−

x

1

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

2 coordinate points

here the 2 points are (10 ,-8) and (7 ,-8)

let

(

x

1

,

y

1

)

=

(

10

,

−

8

)

and

(

x

2

,

y

2

)

=

(

7

,

−

8

)

⇒

m

=

−

8

−

(

−

8

)

7

−

10

=

0

−

3

=

0

A slope of zero indicates that the line is horizontal, parallel to the x-axis and passes through all points in the plane with the same y-coordinate.

For the 2 given points both y-coordinates are - 8 and so the equation of the line is

y=-8

.

If you note this fact then it can be stated that the slope is zero without using the gradient formula.

graph{y-0.001x+8=0 [-20, 20, -10, 10]}