Points at (-1,4) and (1,0)

Question

Write the equation of the linear function shown on the graph.

Answer 1

First, let's find the slope of the line passing through the points (-1,4) and (1,0) using the formula:

slope = (y2 - y1) / (x2 - x1)
slope = (0 - 4) / (1 - (-1))
slope = -4 / 2
slope = -2

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

y - y1 = m(x - x1)

Using the point (-1,4):

y - 4 = -2(x - (-1))
y - 4 = -2(x + 1)
y - 4 = -2x - 2
y = -2x + 2

Therefore, the equation of the linear function shown on the graph is y = -2x + 2.