Menan56278292 Menan56278292
  • 13-11-2019
  • Mathematics
contestada

What is the equations in standard form of the line that passes through the point (4,-8) and has a slope of 1/4

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KerryEye KerryEye
  • 15-11-2019

Answer:

x - 4y - 36 = 0

Step-by-step explanation:

To find the equation of a line when a point passing through it and its slope are give we use slope and one - point form.

It is given by: [tex]$ (y - y_1) = m(x - x_1) $[/tex].

where, [tex]$ (x_1, y_1)[/tex] is the point that passes through it and [tex]m[/tex] is the slope of the line.

Substituting we have: [tex]y + 8 = \frac{1}{4} (x - 4)[/tex].

[tex]\implies 4y + 32 = x - 4[/tex]

[tex]\implies x - 4y - 36 = 0[/tex]

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