Question

Which is the point-slope form of the equation of the line through (-4, 6) with a slope of -117,019.777663?

Option 1: y - 6 = -117,019.777663(x + 4)
Option 2: y = -117,019.777663x - 6
Option 3: y - 6 = -117,019.777663(x - 4)
Option 4: y = -117,019.777663x + 6

Answer 1

The point-slope form of the line equation through (-4, 6) with a slope of -117,019.777663 is y - 6 = -117,019.777663(x + 4)

Step-by-step explanation:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the point is (-4, 6) and the slope is -117,019.777663.

Plugging the values into the point-slope form, we have y - 6 = -117,019.777663(x + 4). Therefore, Option 1: y - 6 = -117,019.777663(x + 4) is the correct answer.