find slope line for given point

Hi Maurice;

slope=(y

_{2}-y_{1})/(x_{2}-x_{1})slope=(7-9)/(0--3)

slope=-2/3

Let's go further and establish the equation of y=mx+b...

y=(-2/3)x+b

9=(-2/3)(-3)+b

9=2+b

Let's subtract 2 from both sides...

-2+9=2+b-2

7=b

Let's verify the results of b using the other coordinates...

(In fact, because the other coordinate includes x=0, this is the y-intercept--the point at which the line crosses the y-axis.)

y=(-2/3)x+b

7=(-2/3)(0)+b

7=b

The equation of y=mx+b is...

y=(-2/3)x+7