Question

Write a minor function for the line with the slope of -5 that passes through points (7,3)

Answer 1

The equation of the line is
`5x+y-38=0`

Explanation:

The slope is
`m=-5`

Also, the line passes through the points
`(7,3)`

To find a line with slope
`m=-5` that passes through the points
`(7,3)`, let us use the equation of a line with slope that passes through the point is given by
`(y-y_(1) )=m(x-x_(1) )` where m is the slope and
`(x_(1) ,y_(1) )` are the points
`(7,3)`.

Thus, substituting the values in the equation of a line, we get,

`(y-3)=-5(x-7)`

Multiplying the term
`(x-7)` by -5, we get,

`y-3=-5 x+35`

Adding both sides by 5x,

`5x+y-3=35`

Subtracting 35 from both sides of the equation,

`5x+y-38=0`

Thus, the equation of the line is
`5x+y-38=0`