Question

writing a linear function
choose the answer to complete each statement
the slope of the line is 7/3
the y - intercept is at - 3
the graph represents the function
(g(x)=(2/3)x + 3)
(g(x)=(3/2)x)
(g(x)=(2/7)x)
(g(x)=(7/3)x - 3)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute given values

We know $m = \frac{7}{3}$ and $b = -3$. Substitute these into the formula:
$y = \frac{7}{3}x + (-3)$ which simplifies to $y = \frac{7}{3}x - 3$

Step3: Match to options

Compare the derived function to the provided choices.

Answer:

g(x) = (7/3)x - 3