Question

form:

1. $g(x) = 15x - 9$

Explanation:

Step1: Identify slope and y-intercept

The function $g(x)=15x-9$ follows the slope-intercept form $y=mx+b$, where $m=15$ (slope) and $b=-9$ (y-intercept).

Step2: Plot the y-intercept

The y-intercept is the point where $x=0$, so the point is $(0, -9)$. Mark this on the grid.

Step3: Use slope to find a second point

Slope $m=\frac{15}{1}$, meaning for a 1-unit increase in $x$, $y$ increases by 15. From $(0, -9)$, move 1 right and 15 up to get the point $(1, 6)$. Mark this point.

Step4: Draw the line

Connect the two points $(0, -9)$ and $(1, 6)$ with a straight line, extending it across the grid.

Answer:

The graph of $g(x)=15x-9$ is a straight line passing through $(0, -9)$ and $(1, 6)$, with a steep positive slope of 15.