Question

What is the equation in point-slope form of the line passing through (0, 6) and (1, 3)?

Answer 1

Answer:

3 - 6 = -3(1 - 0)

Step-by-step explanation:

To write an equation of point-slope from two points, first you need the slope.

To find slope, find the change in y over the change in x.

• (0,6) y = 6 and x = 0
• (1,3) y = 3 and x = 1

The change in y over change is x means (y2 - y1) / (x2 - x1)

change in y: -3

change in x: 1

slope = -3/1 or -3

Now that we have slope we can start the point-slope equation.

Point-slope equation: y2 - y1 = m(x2 -x1)

[m means slope]

Finally, the point slope equation for these points is: 3 - 6 = -3(1 - 0)