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Which equation represents a line which is parallel to the line y=-(4)/(5)x+3 ? Answer 5y-4x=-10 5x+4y=16 5x-4y=24 4x+5y=-20

Which equation represents a line which is parallel to the line y=−45x+3 y=-\frac{4}{5} x+3 ?\newlineAnswer\newline5y−4x=−10 5 y-4 x=-10 \newline5x+4y=16 5 x+4 y=16 \newline5x−4y=24 5 x-4 y=24 \newline4x+5y=−20 4 x+5 y=-20

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Full solution

Q. Which equation represents a line which is parallel to the line y=−45x+3 y=-\frac{4}{5} x+3 ?\newlineAnswer\newline5y−4x=−10 5 y-4 x=-10 \newline5x+4y=16 5 x+4 y=16 \newline5x−4y=24 5 x-4 y=24 \newline4x+5y=−20 4 x+5 y=-20
  1. Identify Slope: Parallel lines have the same slope. The slope of y=−45x+3 y = -\frac{4}{5}x + 3 is −45 -\frac{4}{5} .
  2. Rewrite Options: Rewrite each option in slope-intercept form (y=mx+b) to find the slope.\newlineOption 11: 5y−4x=−105y - 4x = -10\newline5y=4x−105y = 4x - 10\newliney=45x−2y = \frac{4}{5}x - 2\newlineSlope = 45\frac{4}{5}
  3. Compare Slopes: Compare the slopes. The slope of the original line is −45-\frac{4}{5}. The slope of the line in Option 44 is also −45-\frac{4}{5}.

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