Questions: This graph shows how the total number of hats Kira can knit relates to the number of skeins of yarn she buys. The variable x represents the number of skeins of yarn she buys, and the variable y represents the number of hats she can knit. What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

This graph shows how the total number of hats Kira can knit relates to the number of skeins of yarn she buys. The variable x represents the number of skeins of yarn she buys, and the variable y represents the number of hats she can knit.

What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Transcript text: This graph shows how the total number of hats Kira can knit relates to the number of skeins of yarn she buys. The variable $x$ represents the number of skeins of yarn she buys, and the variable $y$ represents the number of hats she can knit. What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Solution

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Solution Steps

Step 1: Find two points on the line.

We can choose the points (0, 0) and (50, 10).

Step 2: Calculate the slope.

The slope, m, is given by the formula: m = (y2 - y1) / (x2 - x1) Using the points (0, 0) and (50, 10): m = (10 - 0) / (50 - 0) m = 10 / 50 m = 1/5

Step 3: Determine the y-intercept.

The y-intercept is the value of y when x = 0. In this case, the line passes through the origin (0,0), so the y-intercept is 0.

Step 4: 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. In this case, m = 1/5 and b = 0. Therefore, the equation of the line is: y = (1/5)x + 0 y = (1/5)x

Final Answer

y = (1/5)x

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