charleselijah297 charleselijah297
  • 02-02-2020
  • Mathematics
contestada

What is the equation of the line that passes through the point
(
−
4
,
−
7
)
(−4,−7) and has a slope of
3
2
2
3
​
?

Respuesta :

sam4040
sam4040 sam4040
  • 08-02-2020

Answer:

[tex]3x-2y=2[/tex]

Step-by-step explanation:

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

[tex]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[/tex]

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