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The equation of line pp is y=17x−10y = \frac{1}{7}x - 10. Line qq, which is parallel to line pp, includes the point (2,−1)(2,-1). What is the equation of line qq?\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 pp is y=17x−10y = \frac{1}{7}x - 10. Line qq, which is parallel to line pp, includes the point (2,−1)(2,-1). What is the equation of line qq?\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 qq is parallel to line pp. Are their slopes the same? Yes, slopes of parallel lines are equal.
  2. Equation of Line p: Equation of line p: \newliney=17x−10y = \frac{1}{7}x - 10\newlineFind the slope of line p.\newlineCompare y=17x−10y = \frac{1}{7}x - 10 with y=mx+by = mx + b.\newlinem=17m = \frac{1}{7}\newlineSlope of line p: 17\frac{1}{7}
  3. Slope of Line q: Line q is parallel to p.\newlineSlope of line p: 17\frac{1}{7}\newlineFind the slope of line q.\newlineSince line q is parallel to line p, its slope is also 17\frac{1}{7}.\newlineSlope of line q: 17\frac{1}{7}
  4. Finding Y-Intercept: For line q: \newlineSlope mm: 17\frac{1}{7}\newlinePoint: (2,−1)(2, -1)\newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline−1=17(2)+b-1 = \frac{1}{7}(2) + b\newline−1=27+b-1 = \frac{2}{7} + b\newlineSubtract 27\frac{2}{7} from both sides to solve for bb.\newline−1−27=b-1 - \frac{2}{7} = b\newline−77−27=b-\frac{7}{7} - \frac{2}{7} = b\newline17\frac{1}{7}00
  5. Equation of Line q: For line q: \newlineSlope mm: 17\frac{1}{7}\newliney-intercept bb: −97\frac{-9}{7}\newlineWhat is the equation of the line q in slope-intercept form?\newlineSubstitute 17\frac{1}{7} for mm and −97\frac{-9}{7} for bb in y=mx+by = mx + b.\newliney=17x−97y = \frac{1}{7}x - \frac{9}{7}

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