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Which equation is best represented by this graph? {:[y+2=(7)/(5)(x+7)],[y-2=(7)/(5)(x-7)],[y+2=(5)/(7)(x+7)],[y-2=(5)/(7)(x-7)]:}

Which equation is best represented by this graph?\newliney+2=75(x+7)y−2=75(x−7)y+2=57(x+7)y−2=57(x−7) \begin{array}{l} y+2=\frac{7}{5}(x+7) \\ y-2=\frac{7}{5}(x-7) \\ y+2=\frac{5}{7}(x+7) \\ y-2=\frac{5}{7}(x-7) \end{array}

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Q. Which equation is best represented by this graph?\newliney+2=75(x+7)y−2=75(x−7)y+2=57(x+7)y−2=57(x−7) \begin{array}{l} y+2=\frac{7}{5}(x+7) \\ y-2=\frac{7}{5}(x-7) \\ y+2=\frac{5}{7}(x+7) \\ y-2=\frac{5}{7}(x-7) \end{array}
  1. Identify y-intercept: Look at the y-intercept of the graph. It's either +2+2 or −2-2. If the graph crosses the y-axis above the origin, it's +2+2; if below, it's −2-2.
  2. Determine slope: Check the slope of the line. The slope is the coefficient of xx. It's either (7/5)(7/5) or (5/7)(5/7). If the line is steeper, the slope is (7/5)(7/5); if less steep, it's (5/7)(5/7).
  3. Match y-intercept and slope: Match the y-intercept and slope to the equations. If the y-intercept is +2+2 and the slope is (7/5)(7/5), the equation is y+2=75(x+7)y+2=\frac{7}{5}(x+7). If the y-intercept is −2-2 and the slope is (7/5)(7/5), the equation is y−2=75(x−7)y-2=\frac{7}{5}(x-7). If the y-intercept is +2+2 and the slope is (5/7)(5/7), the equation is y+2=57(x+7)y+2=\frac{5}{7}(x+7). If the y-intercept is −2-2 and the slope is (5/7)(5/7), the equation is (7/5)(7/5)11.
  4. Select correct equation: Choose the correct equation based on the graph's yy-intercept and slope. If the graph has a yy-intercept of +2+2 and a slope of 75\frac{7}{5}, the correct equation is y+2=75(x+7)y+2=\frac{7}{5}(x+7).

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