Question

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

R(4,0),m=5

Answer 1

ANSWER


The equation is


`y - 5x + 20 = 0`


Step-by-step 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`