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The equation of line ss is y=12x+5y = -\frac{1}{2}x + 5. Line tt includes the point (10,4)(-10,-4) and is parallel to line ss. What is the equation of line tt? Write 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=12x+5y = -\frac{1}{2}x + 5. Line tt includes the point (10,4)(-10,-4) and is parallel to line ss. What is the equation of line tt? Write 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?\newlineYes, parallel lines have the same slope.
  2. Equation of Line s: Equation of line s: \newliney=12x+5y = -\frac{1}{2}x + 5\newlineFind the slope of line s.\newlineCompare y=12x+5y = -\frac{1}{2}x + 5 with y=mx+by = mx + b.\newlinem=12m = -\frac{1}{2}\newlineSlope of line s: 12-\frac{1}{2}
  3. Slope of Line tt: Line tt is parallel to ss.\newlineSlope of line ss: 12-\frac{1}{2}\newlineFind the slope of line tt.\newlineSince line tt is parallel to line ss, its slope is also 12-\frac{1}{2}.\newlineSlope of line tt: 12-\frac{1}{2}
  4. Finding Y-Intercept: For line tt: \newlineSlope (mm): 12-\frac{1}{2}\newlinePoint: (10,4)(-10, -4)\newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline4=12(10)+b-4 = -\frac{1}{2}(-10) + b\newline4=5+b-4 = 5 + b\newline45=b-4 - 5 = b\newline9=b-9 = b
  5. Equation of Line t: For line t: \newlineSlope mm: 12-\frac{1}{2}\newliney-intercept bb: 9-9\newlineWhat is the equation of the line t in slope-intercept form?\newlineSubstitute 12-\frac{1}{2} for mm and 9-9 for bb in y=mx+by = mx + b.\newliney=12x9y = -\frac{1}{2}x - 9

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