Question

What is a slope of a line passing through the points (5.3) and(7,-2)

Answer 1

Answer:

The answer is

$- \frac{5}{2}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}$

From the question the points are

(5.3) and(7,-2)

The slope

$m = \frac{ - 2 - 3}{7 - 5} = \frac{ - 5}{2} = - \frac{5}{2}$

We have the final answer as

$- \frac{5}{2}$

Hope this helps you

Answer 2

Answer:

-2.5

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-5

2

= -2.5

θ =  

arctan( ΔY ) + 360°

ΔX

= 291.80140948635°

ΔX = 7 – 5 = 2

ΔY = -2 – 3 = -5

Distance (d) = √ΔX2 + ΔY2 = √29 = 5.3851648071345

Equation of the line:

y = -2.5x + 15.5

or

y =  

- 5 x

2

+  31

2

When x=0, y = 15.5

When y=0, x = 6.2