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 $5x+y-38=0$

Step-by-step 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 $5x+y-38=0$