Math, asked by mnbvcxz33, 3 months ago

Find the equation of a straight line passing through (-8,4) and making equal intercepts on the coordinate axes​

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Answered by officialarmy282
2

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Answered by itzsecretagent
75

Equation of a straight lines passing through (-8,4) making equal intercept on the co-ordinate axis.

As we know that,

Let we assume that x-intercept & y-intercept = t

equation of line,

→ x/a + y/b = 1.

  • We can write as,

 \sf \implies \:  \frac{x}{t}  +  \frac{y}{t} = 1 \\\\\\\sf \implies \:     \frac{ - 8}{t} +  \frac{4}{t} = 1 \\\\\\\sf \implies \:  -8 + 4 = t \\\\  \\\sf \implies \:   -4 = t.

  • Put the value of t = -4 in equation, we get.

 \sf \implies \frac{x}{ - 4}  +  \frac{y}{ - 4} = 1 \\\\\\ \sf \implies  x + y = -4 \\\\\\ \sf \implies  x + y + 4 = 0.

MORE INFORMATION

Equation of straight lines parallel to axes.

  • Equation of x-axis ⇒ y = 0.
  • Equation of a line parallel to x-axes at a distance of b → y = b.
  • Equation of y-axis ⇒ x = 0.
  • Equation of a line parallel to y-axes and at a distance of a ⇒ x = a.
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