Question

Please help me with the question ​

Answer 1

The right answer is Option 2:

`y+6 = -(3)/(4)(x-2)`

Explanation:

Point-slope form of equation of a line is given by:

`y-y_1 = m(x-x_1)`

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

`y-(-6) = -(3)/(4)(x-2)\\y+6 = -(3)/(4)(x-2)`

Hence,

The right answer is Option 2:

`y+6 = -(3)/(4)(x-2)`