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Sagot :
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
slope: -3/4
y-intercept: -5/4
[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]
[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]

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