Question

Select the correct answer.The equation of a line in the point-slope form is shown below.y - 9 = 1/5(x - 2)What is the slope of this line?A. 2B. 1/9C. 5D. 1/5

Answer 1

Consider that the point-slope form of a line that has slope 'm' and passes through a given point (x1,y1) is given by,

$y-y_1=m\cdot(x_2-x_1)$

The equation of the given line is,

$y-9=\frac{1}{5}(x-2)$

Comparing the coefficients,

$m=\frac{1}{5}$

Thus, the slope of the given equation is 1/5.

Therefore, option D is the correct choice.