Question

What is the slope of the line whose equation is y-4=5/2(x-2)

Answer 1

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have the following equation:

$y-4 = \frac {5} {2} (x-2)$

Algebraically manipulating we have:

$y-4 = \frac {5} {2} x- \frac {5 * 2} {2}\\y-4 = \frac {5} {2} x- \frac {10} {2}\\y-4 = \frac {5} {2} x-5\\y = \frac {5} {2} x-5 + 4\\y = \frac {5} {2} x-1$

Thus, the slope of the line is $\frac {5} {2}$

Answer:

The slope of the line is $\frac {5} {2}$