How do you write the point slope form of the equation given (4,-5) and m=6?

2 Answers
Nov 15, 2017

y=6x-29
graph{y=6x-29 [-10, 10, -5, 5]}

Explanation:

The formula to find the equation is y=mx+b

Since we know that m=6, the equation we have so far would be y=6x+b.

Now, we will find b.

Plug in (4, -5) where x=4 and y=-5

-5=6*4+b

Switch sides:
6*4+b=-5

Multiply the numbers:
24+b=-5

Subtract 24 from both sides:
24+bcolor(red)-color(red)24=-5color(red)-color(red)24

Simplify:
b=-29

Therefore, the whole equation is:
y=6x-29.

Nov 15, 2017

y+5=6(x-4)

Explanation:

Remember that the point-slope form equation looks like this:

y-k=m(x-h)

Where h and k represents a point on the line and m is the slope.

The point should have the coordinates like this: (h,k)

What we have to do is substitute the values in like so:

y-k=m(x-h)
y-(-5)=6(x-4)
So the answer must be:
y+5=6(x-4)

Sweeeeet