Question

The graph of y=g(x)

in the xy
-plane has a slope of −16
and passes through the point (0,22)
. Which equation defines function g(x)
?

Answer 1

The equation that defines the function g(x), which has a slope of −16 and passes through the point (0,22), is y = −16x + 22.

Step-by-step explanation:

To find the equation that defines the function g(x) given that it has a slope of −16 and passes through the point (0,22), we can use the slope-intercept form of a straight line equation, which is y = mx + b, where m is the slope and b is the y-intercept.

For this function, we already know the slope m = −16, and because it passes through the point (0,22), the y-intercept b is 22. Thus, the equation of the line is y = −16x + 22.

Substituting the slope and y-intercept into the equation we get g(x) = −16x + 22 which is the equation that defines the function g(x).