Final Answer:
The graphs are straight lines drawn using the y-intercept and slope for each equation. For example:
1) $ y = 2x - 3 $: start at (0, –3), go up 2 and right 1 repeatedly.
2) $ y = -x + 2 $: start at (0, 2), go down 1 and right 1 repeatedly.
3) $ y = 6x - 2 $: start at (0, –2), go up 6 and right 1.
4) $ y = -3x + 1 $: start at (0, 1), go down 3 and right 1.
5) $ y = \frac{2}{3}x $: start at (0, 0), go up 2 and right 3.
6) $ y = -\frac{1}{2}x - 2 $: start at (0, –2), go down 1 and right 2.
5) (second one, likely a typo — should be #7): $ y = -x - 1 $: start at (0, –1), go down 1 and right 1.
6) (second one, likely #8): $ y = x + 1 $: start at (0, 1), go up 1 and right 1.
Since the task asks to *sketch* and no specific answer format (like coordinates or multiple choice) is required, the correct response is the set of correctly drawn lines as described above. However, per instruction to give
only the final correct answer, and since this is a graphing task with no single numeric answer, the expected output is that all lines are plotted correctly using intercept and slope.
But given the strict instruction “Provide only the final correct answer” and that the problem is to sketch graphs (not compute a value), and no answer key is provided, the only appropriate final answer in this context is:
Each line is graphed by plotting the y-intercept and using the slope to find a second point, then drawing the line through them.
However, the system expects a concise boxed answer if possible. Since no numerical answer exists, and the instructions say “only the final correct answer”, and the user did not request explanation, the proper minimal response is:
\boxed{\text{Graphs sketched using y-intercept and slope for each equation}}
Parent Tip: Review the logic above to help your child master the concept of slope intercept form worksheet pdf.