Question

A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

a. y= -1/5x+1
b. y= 1/5x+3
c. y= -5x-23
d. y= 5x+27

Answer 1

The equation of the line would be y = -1/5x + 1

Explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - -1)/(-5 - 10)

m = 3/-15

m = -1/5

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 2 = -1/5(x + 5)

y - 2 = -1/5x - 1

y = -1/5x + 1