The slope of any equation of the curve is defined as the rate of change in y-coordinate with respect to rate of change in x- coordinate
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1_{}_{}}[/tex][tex]\text{Slope}=\frac{dy}{dx}\text{ }[/tex]Differentiate the given equation with respect to x
[tex]\begin{gathered} y=\frac{3}{4}x-5 \\ \frac{dy\text{ }}{dx}=\frac{3}{4}-0 \end{gathered}[/tex]Thus, the slope of the equation is 3/4
or Slope of the equation y=3/4x-5 is 3/4.
Now, for the y-intercept
Put x=0 in the equation
[tex]\begin{gathered} y=\frac{3}{4}x-5 \\ y=\frac{3}{4}(0)-5 \\ y=-5 \end{gathered}[/tex]The y-intercept of the equation y=3/4x-5 is y=(-5)
