Write the equation of the linear function shown on the graph. (1 point) Responses y=2x−2 y equals 2 x minus 2 y=−2x+2 y equals negative 2 x plus 2 y=−2x−2 y equals negative 2 x minus 2 y=2x+2 (THE POINTS ON THE GRAPH ARE: -1,4 and 1,0
To find the equation of the linear function shown on the graph, we first need to calculate the slope using the given points (-1,4) and (1,0):
Slope (m) = (0 - 4) / (1 - (-1))
Slope (m) = -4 / 2
Slope (m) = -2
Next, 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
y = -2x + 2
Therefore, the equation of the linear function shown on the graph is y = -2x + 2.