Question

Find the slope of the line that passes through (7,5) and (5, 4).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

y = 1/2x + 3/2

Explanation:

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

m = (4 - 5)/(5 - 7)

m = (-1)/(-2)

m = 1/2

Slope-intercept: y = mx + b

y = 1/2x + b

using (5,4)

4 = 1/2(5) + b

4 = 5/2 + b

b = 4 - 5/2 = 8/2 - 5/2 = 3/2

then y = 1/2x + 3/2