Questions: For the following equation, find the intercepts. Then use the intercepts to graph the equation. 6x + 24y = 6 Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. Click to enlarge graph

For the following equation, find the intercepts. Then use the intercepts to graph the equation. 6x + 24y = 6 Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. Click to enlarge graph
Transcript text: For the following equation, find the intercepts. Then use the intercepts to graph the equation. \[ 6 x+24 y=6 \] Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. $\square$ Click to enlarge graph
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Solution

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Solution Steps

Step 1: Find the x-intercept

To find the x-intercept, set y = 0 and solve for x:

6x + 24(0) = 6 6x = 6 x = 1

So, the x-intercept is (1, 0).

Step 2: Find the y-intercept

To find the y-intercept, set x = 0 and solve for y:

6(0) + 24y = 6 24y = 6 y = 1/4

So, the y-intercept is (0, 1/4).

Step 3: Plot the intercepts and draw the line

Plot the points (1, 0) and (0, 1/4) on the graph. Draw a straight line through these two points.

Final Answer:

The x-intercept is (1, 0) and the y-intercept is (0, 1/4). The graph is a straight line passing through these two points.

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