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Line cc has an equation of y=43x+9y = \frac{4}{3}x + 9. Line dd is parallel to line cc and passes through (−4,−4)(-4,-4). What is the equation of line dd?\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. Line cc has an equation of y=43x+9y = \frac{4}{3}x + 9. Line dd is parallel to line cc and passes through (−4,−4)(-4,-4). What is the equation of line dd?\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 Match: Line dd is parallel to line cc. Do their slopes match? Yes, parallel lines have the same slope.
  2. Equation of Line c: Equation of line c: \newliney=43x+9y = \frac{4}{3}x + 9\newlineFind the slope of line c.\newlineCompare y=43x+9y = \frac{4}{3}x + 9 with y=mx+by = mx + b.\newlinem=43m = \frac{4}{3}\newlineSlope of line c: 43\frac{4}{3}
  3. Slope of Line d: Line d is parallel to c.\newlineSlope of line c: 43\frac{4}{3}\newlineFind the slope of line d.\newlineSince line d is parallel to line c, its slope is also 43\frac{4}{3}.\newlineSlope of line d: 43\frac{4}{3}
  4. Finding Y-Intercept: For line dd: \newlineSlope (mm): 43\frac{4}{3} \newlinePoint: (−4,−4)(-4, -4) \newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline−4=43(−4)+b-4 = \frac{4}{3}(-4) + b \newline−4=−163+b-4 = -\frac{16}{3} + b\newlineTo find bb, add 163\frac{16}{3} to both sides of the equation.\newline−4+163=b-4 + \frac{16}{3} = b\newlinemm00\newlinemm11
  5. Equation of Line d: For line d: \newlineSlope mm: 43\frac{4}{3} \newliney-intercept bb: 43\frac{4}{3} \newlineWhat is the equation of the line d in slope-intercept form?\newlineSubstitute 43\frac{4}{3} for mm and 43\frac{4}{3} for bb in y=mx+by = mx + b. \newliney=43x+43y = \frac{4}{3}x + \frac{4}{3}

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