what is the slope of the line that contains the points (2,5) & (7,15)?

a.) 2
b.) 1/2
c.) -1/2
d.) -8

(15-5)/(7-2) = 10/5 = 2

what is the slope of the line that contains the points (2,-5) and (-4,-1)

To find the slope of the line that contains the points (2,5) and (7,15), you can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Here, (x1, y1) = (2,5) and (x2, y2) = (7,15).

Substituting the values into the formula, we get:

m = (15 - 5) / (7 - 2)

Simplifying this equation gives:

m = 10 / 5

Therefore, the slope of the line is 2.

So, the correct answer is a.) 2.

To find the slope of a line that contains two given points, you can use the slope formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, the points are (2,5) and (7,15), which means:
x₁ = 2, y₁ = 5
x₂ = 7, y₂ = 15

Using the slope formula, we can substitute the values and calculate the slope:
slope = (15 - 5) / (7 - 2)
= 10 / 5
= 2

Therefore, the slope of the line that contains the points (2,5) and (7,15) is 2.