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A line has a slope of 74\frac{7}{4} and a yy-intercept of 52\frac{5}{2}. 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 74\frac{7}{4} and a yy-intercept of 52\frac{5}{2}. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
  1. Slope-Intercept Form: The slope-intercept form of a line is given by the equation y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
  2. Given Values: We are given the slope mm as 74\frac{7}{4} and the y-intercept bb as 52\frac{5}{2}. We need to substitute these values into the slope-intercept form equation.
  3. Substitute Values: Substituting the given values into the equation, we get y=(74)x+(52)y = \left(\frac{7}{4}\right)x + \left(\frac{5}{2}\right).
  4. Final Equation: There is no need to simplify further as the equation is already in simplest form with integers and proper fractions.

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