Verified Answer :

The equation of a line is given by y = mx + c; where m is the slope.
The given equation is y = 5/4 x - 7/4.
Therefore, the slope is 5/4.

Answer:

Option 3rd is correct

\(\frac{5}{4}\)

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

\(y = mx+c\)          ....[1]

where,

m is the slope of the line

c is the y-intercept.

As per the statement:

The equation of line is given as:

\(y = \frac{5}{4}x -\frac{7}{4}\)

On comparing the given equation with [1] we have;

⇒\(m = \frac{5}{4}\) and \(c = -\frac{7}{4}\)

Therefore, the slope of the given equation is, \(\frac{5}{4}\)