Respuesta :

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

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

[tex]y = mx+c[/tex]          ....[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:

[tex]y = \frac{5}{4}x -\frac{7}{4}[/tex]

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

⇒[tex]m = \frac{5}{4}[/tex] and [tex]c = -\frac{7}{4}[/tex]

Therefore, the slope of the given equation is, [tex]\frac{5}{4}[/tex]