Question

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

Answer 1

ANSWER


The equation is

$y - 5x + 20 = 0$


EXPLANATION

Let the equation be
$y = mx + c$

where
$m = 5$
is the slope of the line.


We substitute this value to obtain,

$y = 5x + c$


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



We substitute this point to obtain,

$0 = 5(4) + c$


$0 = 20 + c$


$c = - 20$


Our equation now becomes

$y = 5x - 20$


We can write this in standard form as


$y - 5x + 20 = 0$