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

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

The point-slope equation of a line passing though the point (x₁, y₁) and which has a slope m is given as:

y  -  y₁   =  m(x  -  x₁)

The line described passes through the point (4, -8) and has a slope of 1/4.

That is:

m = 1/4

x₁  =  4

y₁  =  -8

Substitute these values into the point-slope form of the equation of a line

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

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x=6 and x=3

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