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The equation of line ss is y=−4x−53y = -4x - \frac{5}{3}. Line tt includes the point (−3,3)(-3,3) and is parallel to line ss. What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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Q. The equation of line ss is y=−4x−53y = -4x - \frac{5}{3}. Line tt includes the point (−3,3)(-3,3) and is parallel to line ss. What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
  1. Parallel Lines Slopes: Line tt is parallel to line ss.\newlineAre their slopes the same or different?\newlineSlopes of parallel lines are the same.
  2. Equation of Line s: Equation of line s: \newliney=−4x−53y = -4x - \frac{5}{3} \newlineFind the slope of line s.\newlineCompare y=−4x−53y = -4x - \frac{5}{3} with y=mx+by = mx + b.\newlinem=−4m = -4\newlineSlope of line s: −4-4
  3. Slope of Line tt: Line tt is parallel to ss.\newlineSlope of line ss: −4-4 \newlineFind the slope of line tt.\newlineSince line tt is parallel to line ss, its slope is also −4-4.\newlineSlope of line tt: −4-4
  4. Finding Y-Intercept: For line tt: \newlineSlope (mm): −4-4 \newlinePoint: (−3,3)(-3, 3) \newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline3=−4(−3)+b3 = -4(-3) + b \newline3=12+b3 = 12 + b\newline3−12=b3 - 12 = b\newline−9=b-9 = b
  5. Equation of Line t: For line t: \newlineSlope mm: −4-4 \newliney-intercept bb: −9-9 \newlineWhat is the equation of the line t in slope-intercept form?\newlineSubstitute −4-4 for mm and −9-9 for bb in y=mx+by = mx + b. \newliney=−4x−9y = -4x - 9

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