Question

Indicate, in standard form, the equation of the line passing through the given points.

E-2, 2), 25, 1)
Enter your answer in the blank equation box.

Answer 1

x + 27y - 52 = 0.

Explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (1-2)/(25- (-2))

= -1/27

Using the point slope form of a straight line:

y - 2 = -1/27(x- (-2))

y - 2 = -1/27x - 2/27

y = -1/27x - 2/27 + 54/27

y = -1/27x + 52/27

Multiply through by 27:

27y = -x + 52

x + 27y - 52 = 0 <------- Standard form.