Christopher wants to build a road named Stargazer Boulevard that will be parallel to Moonbeam drive. On the road, he will build a dinner located at 7 blocks north of the community garden. Determine the equation of the line that represents Stargazer Blvd.

Christopher wants to build a road named Stargazer Boulevard that will be parallel to Moonbeam drive On the road he will build a dinner located at 7 blocks north class=

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Answer:

y=mx+b --> y=[tex]-\frac{5}{4}[/tex]x+23

Step-by-step explanation:

First, figure out the slope of Moonbeam drive. (Since parallel lines have the same slope)

    Slope = [tex]-\frac{5}{4}[/tex]  (count rise over run with the points on moonbeam drive.

Then, count 7 up from (20, 0) - Community Garden.

    This point is (20, 7) - plot it on the graph

Next, plot another point 5 to the left and 4 up

    This point is (15, 11)

Take note of where the y-intercept would be if you continued this.

    At point (0, 23) so 23 is the y-intercept.

    (you can also check this by counting 7 higher than moonbeam drive's y-intercept which is 23.

Finally, plug the slope and y-intercept into the line equation however you wish. I used slope-intercept form.

Answer:

y = 4/5x + 23

Step-by-step explanation:

Point: (20,7) (7 blocks north of community garden)

Slope: - 4/5 (parallel lines have identical slope)

y-intercept= 7 - (4/5)(20) = 23