Question

Use the points slope formula to write an equation of the line that passes through (3,-9) and has a slope of m=-4.write the answer in slope intercept form (if possible)

Answer 1

y=-4x+3

This is the slope-intercept form where m=-4 and b=3

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