Answer:
y=-4x+3
This is the slope-intercept form where m=-4 and b=3
Step-by-step explanation:
Equations of the line
There are several forms to express the equation of a line in the plane.
The point-slope form is:
y-k=m(x-h)
Where (h,k) are the coordinates of the point and m is the slope.
The slope-intercept form is:
y=mx+b
Here, b is the value of the y-intercept.
The given line passes through (3,-9) and has a slope of m=-4. The point-slope form is:
y-(-9)=-4(x-3)
Operating:
y+9=-4x+12
Subtracting 9:
y=-4x+3
This is the slope-intercept form where m=-4 and b=3
