Question

What is the equation, in point-slope form, for a line that goes through ​ (2, −6) ​ and has a slope of ​ −3/4 ​ ?

O y−6=3/4(x−2)
O y+6=−3/4(x−2)
O y+6=−3/4(x+2)
O y−6=−3/4(x+2)

Answer 1

The equation, in point-slope form, for a line that goes through (2, -6) and has a slope of -3/4 is y + 6 = -3/4(x - 2).

Step-by-step explanation:

The equation, in point-slope form, for a line that goes through (2, -6) and has a slope of -3/4 is y + 6 = -3/4(x - 2).

This equation can be derived using the formula for the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and 'm' is the slope.

1. Plug in the values from the given point (2, -6) into the equation.
2. Substitute the given slope of -3/4 for 'm'.
3. Simplify the equation to get the final point-slope form equation.