Question

2. Given the equation of a line, y = 1/5x, the slope is:

Answer 1

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Answer:
`\textsf{Slope = 1/5}`

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Given:
`\textsf{y = 1/5x}`

Find:
`\textsf{The slope of the line}`

Solution: In order to determine the slope of the line we need to see how the slope-intercept form compares to this expressions. The slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. In this case we have no y-intercept therefore we do not have a b. However, our slope is equal to 1/5 as it fits perfectly with the form that was provided.

Answer 2

1/5

Explanation:

The slope-intercept form looks like
`y=mx+b` where b is the y-intercept and m is the slope. m is the slope because if you increase x by 1, the value y increases by m, and if you increase x by 1 again, the y-value will increase by the value of m, because it's being multiplied. b is the y-intercept since the y-intercept is when x=0 so mx will become m(0) which is just 0 leaving b by it self. In this case you have y=1/5x so if you were to start with 0 as x the value of y is 0. Now increase it by 1 so x becomes 1, the value of y becomes 1/5x, now increase it by 1 again so x becomes 2, the value of y is 2/5x, so as you can see the function is just increasing by 1/5 so that's the slope, so essentially whatever the coefficient of x is (the number in front of the variable x), is the slope