What is the slope of a line that goes through the points (3,7) and (6,9) ?

The slope of a line passing through points (x1,y1) and (x2,y2) is given by the formula:

slope = (y2 - y1) ÷ (x2 - x1)

Using the points (3,7) and (6,9), we have:

slope = (9 - 7) ÷ (6 - 3)

slope = 2 ÷ 3

Therefore, the slope of the line passing through (3,7) and (6,9) is 2/3.

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

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

Let's substitute the coordinates of the given points into this formula:

Slope = (9 - 7) / (6 - 3)

Calculating the numerator and denominator separately:

Numerator: 9 - 7 = 2
Denominator: 6 - 3 = 3

Now, dividing the numerator by the denominator:

Slope = 2/3

Therefore, the slope of the line that passes through the points (3,7) and (6,9) is 2/3.