Question

Use point slope form to write the equation of a line that passes through the point (19, -12) wih a slope of -3

Answer 1

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

Where (x1, y1) represents a point on the line and m represents the slope of the line.

Given that the point (19, -12) lies on the line, and the slope is -3, we can substitute these values into the point-slope form to obtain the equation:

y - (-12) = -3(x - 19)

Simplifying this equation gives:

y + 12 = -3x + 57

Rearranging the terms to isolate y gives:

y = -3x + 57 - 12

Which simplifies to:

y = -3x + 45

Therefore, the equation of the line that passes through the point (19, -12) with a slope of -3 is y = -3x + 45.