Question
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Graph this line using the slope and \( y \)-intercept \[ y=\frac{3}{10} x+5 \] Click to select points on the graph.

Ask by Montgomery Cole. in the United States
Jan 23,2025

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Answer

To graph the line \( y = \frac{3}{10}x + 5 \), plot the \( y \)-intercept at \( (0, 5) \). Then, use the slope \( \frac{3}{10} \) to find another point by moving 10 units right and 3 units up to \( (10, 8) \). Draw a straight line through these points to complete the graph.

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Bonus Knowledge

To graph the line given by the equation \( y=\frac{3}{10} x+5 \), first identify the \( y \)-intercept. Here, the line crosses the \( y \)-axis at \( (0, 5) \). From this point, use the slope \( \frac{3}{10} \), which indicates that for every 10 units you move to the right (increasing \( x \)), you move up 3 units (increasing \( y \)). This gives you another point to plot: \( (10, 8) \). Now draw a straight line through the two points you marked. Voilà, your line is ready! Don’t forget, plotting additional points can confirm the accuracy of your line! Select points such as \( (10, 8) \) and \( (-10, 2) \) to add more structure to your graph.

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