Respuesta :

[tex]\begin{gathered} m=\text{slope}=-\frac{3}{4} \\ b=y-\text{Intercept}=1 \end{gathered}[/tex]

Explanation

we can easily solve this by checking the equation

[tex]y=-\frac{3}{4}x+1[/tex]

It is writen in slope- y intercept fom

[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope} \\ \text{and b is the y-intercept} \end{gathered}[/tex]

hence

[tex]\begin{gathered} y=-\frac{3}{4}x+1\Rightarrow y=mx+b \\ \text{ therefore} \\ m=\text{slope}=-\frac{3}{4} \\ b=y-\text{Intercept}=1 \end{gathered}[/tex]

I hope this helps you