Questions: Write the equation of the line in slope-intercept form.

Write the equation of the line in slope-intercept form.
Transcript text: Write the equation of the line in slope-intercept form.
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Solution

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Solution Steps

Step 1: Find the y-intercept

The y-intercept is the point where the line crosses the y-axis. In this graph, the y-intercept is 30.

Step 2: Find the slope

The slope of a line is the change in y divided by the change in x. We can pick two points on the line to calculate the slope. Let's use the points (0, 30) and (3, 0). The change in y is 0 - 30 = -30. The change in x is 3 - 0 = 3. So, the slope is -30/3 = -10.

Step 3: Write the equation in slope-intercept form

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We found the slope to be -10 and the y-intercept to be 30. Therefore, the equation of the line is: y = -10x + 30

Final Answer: The equation of the line is y = -10x + 30.

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