write an equation

Question

of the line with slope -5 and counting the point (2,3)

Answer 1

Use the y=mx+b equation to solve

 

We know that our slope ("m") is "-5", so we can re-write our equation as y=-5x+b

 

We know that the line has to contain the point (2,3) so we can plug these values in for x and y, respectively, to solve for b

 

Plugging these values in, we get the following equation: 3=-5(2)+b, which can be simplified to 3=-10+b

 

To get b on one side of the equation, we add "-10" to each side of the equation, which gives us the new equation: 13=b

 

Plugging this value for b, into our original equation, gives us a line with the following equation: y=-5x+13