Question

What is an equation for the line that passes through the points (-2,3) and (2,1)?

Answer 1

Answer:

y = -1/2x + 2

Step-by-step explanation:

Answer 2

Answer:

y = -0.5x + 2

Step-by-step explanation:

In order to find the equation of a line given two coordinates, you must first find the slope of the equation.

y = mx + b

To find slope (m), use the equation below:

Slope = (y2 - y1 ) / (x2 - x1 )

(2, 1)

(-2, 3)

y2 = 1

y1 = 3

x2 = 2

x1 = -2

Slope = (1 - 3) / (2 - -2) = (-2) / (4) = -0.5

y = -0.5x + b

Next, plug in one coordinate in order to solve for b:

Let's plug in the numbers (-2,3)

3 = -0.5 (-2) + b

b = 3 - 1 = 2

Line's equation =

y = -0.5x + 2