The points (9,12) and (15,20) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
The slope is __.
(Simplify your answer.)
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The points (9,12) and (15,20) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
The slope is __.
(Simplify your answer.)
To find the slope of the line through the points (9, 12) and (15, 20), you can use the slope formula:
[
text{slope} (m) = frac{y_2 – y_1}{x_2 – x_1}
]
Where ((x_1, y_1) = (9, 12)) and ((x_2, y_2) = (15, 20)).
1. Substitute the values into the formula:
[
m = frac{20 – 12}{15 – 9}
]
2. Calculate the difference in the y-coordinates and the x-coordinates:
[
m = frac{8}{6}
]
3. Simplify the fraction:
[
m = frac{4}{3}
]
So, the slope is (frac{4}{3}).
To graph the line, start at the point (9, 12). From there, rise 4 units up and run 3 units to the right to find the next point, which would be (12, 16). Connect the points (9, 12) and (15, 20) with a straight line.
The slope is (frac{4}{3}).