Answer:
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Step-by-step explanation:
Point-slope form of equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]
Hence,
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
