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15 The graph of a linear function is shown on the grid. Which equation is best represented by this graph? A y=-(7)/(4)x+4 B y=-(7)/(4)x+7 c y=-(4)/(7)x+4 D y=-(4)/(7)x+7

1515 The graph of a linear function is shown on the grid.\newlineWhich equation is best represented by this graph?\newlineA y=−74x+4 y=-\frac{7}{4} x+4 \newlineB y=−74x+7 y=-\frac{7}{4} x+7 \newlinec y=−47x+4 y=-\frac{4}{7} x+4 \newlineD y=−47x+7 y=-\frac{4}{7} x+7

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Full solution

Q. 1515 The graph of a linear function is shown on the grid.\newlineWhich equation is best represented by this graph?\newlineA y=−74x+4 y=-\frac{7}{4} x+4 \newlineB y=−74x+7 y=-\frac{7}{4} x+7 \newlinec y=−47x+4 y=-\frac{4}{7} x+4 \newlineD y=−47x+7 y=-\frac{4}{7} x+7
  1. Find Slope: First, let's find the slope of the line by picking two points on the graph. Let's say the points are (0,4)(0, 4) and (4,0)(4, 0).
  2. Calculate Slope: Now, calculate the slope mm using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. So, m=0−44−0=−44m = \frac{0 - 4}{4 - 0} = \frac{-4}{4}.
  3. Simplify Slope: Simplify the slope. m=−44=−1m = -\frac{4}{4} = -1. Oops, that's not right, the slope should be −1×(74)-1 \times \left(\frac{7}{4}\right), not −1-1.

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