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A line has a slope of −35-\frac{3}{5} and a yy-intercept of −15-\frac{1}{5}. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Q. A line has a slope of −35-\frac{3}{5} and a yy-intercept of −15-\frac{1}{5}. Write its equation in slope-intercept form. Write 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 −35-\frac{3}{5} and the y-intercept bb as −15-\frac{1}{5}. Substituting these values into the slope-intercept form, we get y=(−35)x+(−15)y = \left(-\frac{3}{5}\right)x + \left(-\frac{1}{5}\right).
  3. Simplify Equation: Simplify the equation if necessary.\newlineIn this case, the equation y=−35x+−15y = \frac{-3}{5}x + \frac{-1}{5} is already in its simplest form. There is no need for further simplification.

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