What is the slope of the line that passes through the points left bracket, 7, comma, minus, 5, right bracket(7,−5) and left bracket, 16, comma, 7, right bracket(16,7)? Write your answer in simplest form.

Answer 1

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

slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Given the points (7, -5) and (16, 7), we can label these points as follows:

x1 = 7, y1 = -5
x2 = 16, y2 = 7

Now we can plug these into the formula:

m = (7 - (-5)) / (16 - 7)
m = (7 + 5) / (9)
m = 12 / 9

Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 3:

m = (12 / 3) / (9 / 3)
m = 4 / 3

So the slope of the line in simplest form is 4/3.