What is the equation of the line that passes through the point

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

Answer:

$3x-2y=2$

Step-by-step explanation:

The equation of line having slope $\frac{3}{2}$ and passing through $(-4,-7)$ .

$The\ equation\ of\ line\ is\ given\ by\ y=mx+c\ where\ m\ is\ the\ slope\ of\ line.\\\\Here\ m=\frac{3}{2}\\\\Equation\ y=\frac{3}{2}x+c\\\\Line\ passes\ through\ (-4,-7),\ it\ will\ satisfy\ the\ equation\ of\ line.\\\\-7=\frac{3}{2}\times (-4)+c\\\\-7=-6+c\\\\c=-7+6\\\\c=-1\\\\y=\frac{3}{2}x-1\\\\2y=3x-2\\\\3x-2y=2$

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