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A line has a slope of 27\frac{2}{7} and a yy-intercept of −6-6. Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.

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Slope-intercept form: write an equationright chevron icon

Full solution

Q. A line has a slope of 27\frac{2}{7} and a yy-intercept of −6-6. Write its equation in slope-intercept form.\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Identify Form: Identify the slope-intercept form of a linear equation.\newlineThe slope-intercept form of a linear equation is y=mx+by = mx + b, where mm is the slope and bb is the yy-intercept.
  2. Insert Values: Insert the given slope and y-intercept into the slope-intercept form.\newlineWe are given the slope mm as 27\frac{2}{7} and the y-intercept bb as −6-6. Substituting these values into the slope-intercept form, we get y=27x−6y = \frac{2}{7}x - 6.

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