(-4,4) and (-1,3) in simplest form

Answer 1

I am going to assume the simplest form is y-intercept form.

1) Finding the slope.

The formula is m= (y₂-y₁) Where m=slope

(x₂-x₁)

Which isn't as bad as it looks.

Start with subtracting (-4,4) and (-1,3) Note you can also do

x= -1-(-4)=3 Important to remember: x= -4 - (-1)= -3

y= 3- 4= -1 make sure to subtract y from y and y= 4 - 3 = 1

x from x.

m=-1/3

2) Point Slope Form

So now we have a slope we can begin to make a y intercept.

y=mx+b

y=-1/3x+b <--- Plug in that slope (m) we just solved for

Now pick a point and plug that into the equation to solve for the y intercept (b)

I'm choosing (-1,3) (remember points are in form of (x,y))

3=-1/3(-1)+b

3=1/3+b

2&2/3 =b

now plug b back into our equation

y=-1/3X+ 2&2/3 This should be our final answer

3) Checking your answer



Plug in your other data point to check your answer (-4,4)

4= -1/3(-4)+ 2&2/3

4= 4/3+ 2&2/3

4=4 This means our equation is correct! If these didn't equal then we made a mistake along the way