Question

Write the equation of the linear function shown on the graph 1 point negative 1, 4 second point one, 0

Answer 1

To find the equation of the linear function that passes through the points (-1, 4) and (1, 0), we first need to find the slope of the line using the formula:

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

m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -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

Now we have the slope (-2) and the y-intercept (2), so the equation of the linear function is:

y = -2x + 2