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Indicate in standard form the equation of the line passing through the given point and having the given slope
R(4,0),m=5

Indicate in standard form the equation of the line passing through the given point and having the given slope R40m5 class=

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ANSWER


The equation is

[tex]y - 5x + 20 = 0[/tex]


EXPLANATION

Let the equation be
[tex]y = mx + c[/tex]

where
[tex]m = 5[/tex]
is the slope of the line.


We substitute this value to obtain,

[tex]y = 5x + c[/tex]


Since the line passes through
[tex](4,0)[/tex]
we can use this point to determine the value of c.



We substitute this point to obtain,

[tex]0 = 5(4) + c[/tex]


[tex]0 = 20 + c[/tex]


[tex]c = - 20[/tex]


Our equation now becomes

[tex]y = 5x - 20[/tex]


We can write this in standard form as


[tex]y - 5x + 20 = 0[/tex]

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