Question

(-1,4)
(1,0)
Write the Equation of the linear function shown on the graph

Answer 1

Let's first find the slope of the line using the given points (-1,4) and (1,0):

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 find 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

Now simplify the equation:
y = -2x + 2

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