Question

Complete the equation of the linear function.

y = _ x + _

A graph of a function. The function graph goes through point 0, 4 and point negative 1, 1.

Answer 1

The two points we are given will tell us the slope of the line, and the first point even tells us the y intercept.

slope = (y2 - y1) / (x2 - x1) = (1 - 4) / (1 - 0) = -3/1 = -3

Since the function goes through (0,4), our y intercept is 4.

Now we can fill in our function:
y = _ x + _
y = -3x + 4