Answer :

This is a linear equation. The unknown variable x is to the first power so when you graph this equation it will be a straight line.

slope: -3/4
y-intercept: -5/4
Lilith
[tex]y= - \frac{3}{4}x - \frac{5}{4}\ \ is \ a \ linear \ equation\\\\The \ graph \ of \ \ y= - \frac{3}{4}x - \frac{5}{4} \ \ is \ a \ straight \ line[/tex]


[tex]x=-7 \ \to \ \ y= - \frac{3}{4}x - \frac{5}{4}= - \frac{3}{4} \cdot (-7) - \frac{5}{4}=\frac{21}{4} - \frac{5}{4}=\frac{16}{4}=4 \\\\x=5 \ \to \ \ y=- \frac{3}{4} \cdot 5 - \frac{5}{4}=-\frac{15}{4} - \frac{5}{4}=-\frac{20}{4}= -5[/tex]



View image Lilith