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 2 x plus 2 y=−2x+2 y equals negative 2 x plus 2 y=−2x−2
(-1,4) and (1,0)
To find the equation of the linear function, we need to first calculate the slope using the two 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 one of the points to find the y-intercept. Let's use the point (-1,4).
y = mx + b
4 = -2(-1) + b
4 = 2 + b
b = 2
Therefore, the equation of the linear function is y = -2x + 2.