Question

What is the equation, in point-slope form, for a line that goes through (2, -6) and has a slope of -34?

1) y - 6 = -34(x - 2)
2) y + 6 = -34(x - 2)
3) y - 6 = 34(x - 2)
4) y + 6 = -34(x + 2)

Answer 1

The equation, in point-slope form, for a line that goes through (2, -6) and has a slope of -34 is y + 6 = -34(x - 2).

Step-by-step explanation:

In point-slope form, 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. In this case, the point (2, -6) lies on the line and the slope is -34. Plugging these values into the equation, we get:

y - (-6) = -34(x - 2)

Simplifying this equation gives us the point-slope form equation of the line:

y + 6 = -34(x - 2)