Question

Find the equation of the line in point slope form that is parallel to the line y - 2 = 2/3(x - 8) goes through the point (2,11).

Answer 1

`y-11=(2)/(3)(x-2)`

Step-by-step explanation:

Given the line

`y-2=(2)/(3)\mleft(x-8\mright)`

Comparing it to the point-slope form of a line:

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

Slope = 2/3

Two lines are parallel if their slopes are equal.

Therefore, the equation of the line in the point-slope form that is parallel to the line and that goes through the point (2,11) is:

`y-11=(2)/(3)(x-2)`