Question

Use point-slope form to write the equation of a line that passes through the point (-12, -12) with slope -9/2?

Answer 1

To write the equation of a line that passes through the point (-12, -12) with a slope of -9/2, we use the point-slope form, y - y1 = m(x - x1), which results in y + 12 = (-9/2)(x + 12).

Step-by-step explanation:

The student is asked to write the equation of a line in a point-slope form that passes through the point (-12, -12) with a slope of -9/2. The point-slope form of a line's equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Using the given point (-12, -12) and the slope -9/2, the equation can be written as:

y - (-12) = (-9/2)(x - (-12))

Simplify the equation:

y + 12 = (-9/2)(x + 12)

This is the desired equation in point-slope form.