An equation in follows a specific format.
y=mx+b
For an equation in this form,
m is the and
b is the .
Let's use the given points to calculate
m. We will start by substituting the points into the .
m=x2−x1y2−y1
m=0−(-4)9−0
m=49
A slope of
49 means that for every
4 horizontal steps in the positive direction, we take
9 vertical steps in the positive direction. Now that we know the slope, we can write a partial version of the equation.
y=49x+b
To complete the equation we also need to substitute the
y-intercept,
b. We can see that one of our given points,
(0,9), lies on the
y-axis. Since the line crosses the
y-axis at this point, we know the
y-intercept and can complete the equation.
y=49x+9