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A line has a slope of −3-3 and a yy-intercept of 25\frac{2}{5}. 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 −3-3 and a yy-intercept of 25\frac{2}{5}. 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 −3-3 and the y-intercept bb as 25\frac{2}{5}. Substituting these values into the slope-intercept form, we get y=−3x+25y = -3x + \frac{2}{5}.

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