graph the function h(x)=2x - 7.

Explanation:

Step1: Identify the type of function

The function $h(x)=2x - 7$ is a linear function of the form $y = mx + b$, where $m = 2$ (the slope) and $b=-7$ (the y - intercept).

Step2: Find the y - intercept

Set $x = 0$. Then $h(0)=2\times0 - 7=-7$. So the point $(0,-7)$ is on the graph.

Step3: Use the slope to find another point

The slope $m = 2=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,-7)$, if we increase $x$ by 1 ($\Delta x = 1$), then $\Delta y=2$. So when $x = 1$, $h(1)=2\times1 - 7=-5$. The point $(1,-5)$ is also on the graph.

Step4: Draw the line

Plot the points $(0,-7)$ and $(1,-5)$ on the coordinate - plane and draw a straight line passing through them.

Answer:

Graph a straight line passing through the points $(0,-7)$ and $(1,-5)$.