a line passes through (4, 5) and has a slope of 5/2. write an equation in slope intercept form for this line

The answer to your question is: y = 5/2 x - 5

Step-by-step explanation:

Data

P (4, 5)

slope = m = 5/2

Equation

(y - y1) = m (x - x1)

Process

1. - Substitute the data in the equation

(y - 5) = 5/2 (x - 4)

2. - Multiply 5/2 by the right terms

y - 5 = 5/2 x - 20/2

3. - Simplify

y = 5/2 x - 10 + 5

y = 5/2 x - 5