Question

a graph has the points (0, 9) (1, 5) (2, 1), what is the equation of the line?

Answer 1

To find the equation of the line passing through the points (0, 9), (1, 5), and (2, 1), we first need to calculate the slope of the line using the formula:

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

Using the points (0, 9) and (1, 5):

m = (5 - 9) / (1 - 0)
m = -4 / 1
m = -4

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (0, 9), we get:

y - 9 = -4(x - 0)
y - 9 = -4x

Now, we can simplify the equation:

y = -4x + 9

Therefore, the equation of the line passing through the points (0, 9), (1, 5), and (2, 1) is:

y = -4x + 9