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The graph of (x)/( 2.6)-(y)/( 7.8)=1 in the xy-plane is a line. Which of the following is true about this line? Choose 1 answer: (A) The graph's x-intercept is 2.6 and its y-intercept is 7.8 . B The graph's x-intercept is 2.6 and its y-intercept is -7.8 . (C) The graph has a slope of 2.6 . (D) The graph has a slope of 7.8 .

The graph of x2.6−y7.8=1 \frac{x}{2.6}-\frac{y}{7.8}=1 in the xy x y -plane is a line. Which of the following is true about this line?\newlineChoose 11 answer:\newline(A) The graph's x x -intercept is 22.66 and its y y -intercept is 77.88 .\newlineB The graph's x x -intercept is 22.66 and its y y -intercept is −7-7.88 .\newline(C) The graph has a slope of 22.66 .\newline(D) The graph has a slope of 77.88 .

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Full solution

Q. The graph of x2.6−y7.8=1 \frac{x}{2.6}-\frac{y}{7.8}=1 in the xy x y -plane is a line. Which of the following is true about this line?\newlineChoose 11 answer:\newline(A) The graph's x x -intercept is 22.66 and its y y -intercept is 77.88 .\newlineB The graph's x x -intercept is 22.66 and its y y -intercept is −7-7.88 .\newline(C) The graph has a slope of 22.66 .\newline(D) The graph has a slope of 77.88 .
  1. Find x-intercept: To find the x-intercept, set yy to 00 and solve for xx. Substitute y=0y = 0 into the equation x2.6−y7.8=1\frac{x}{2.6} - \frac{y}{7.8} = 1. x2.6−07.8=1\frac{x}{2.6} - \frac{0}{7.8} = 1 x2.6=1\frac{x}{2.6} = 1 Multiply both sides by 2.62.6 to solve for xx. x=2.6×1x = 2.6 \times 1 0000
  2. Find y-intercept: To find the y-intercept, set xx to 00 and solve for yy. Substitute x=0x = 0 into the equation x2.6−y7.8=1\frac{x}{2.6} - \frac{y}{7.8} = 1. 02.6−y7.8=1\frac{0}{2.6} - \frac{y}{7.8} = 1 −y7.8=1-\frac{y}{7.8} = 1 Multiply both sides by −7.8-7.8 to solve for yy. y=−7.8×1y = -7.8 \times 1 0000
  3. Find slope of line: To find the slope of the line, rewrite the equation in slope-intercept form y=mx+by = mx + b. First, add y7.8\frac{y}{7.8} to both sides of the equation. x2.6=y7.8+1\frac{x}{2.6} = \frac{y}{7.8} + 1 Next, multiply both sides by 7.87.8 to get rid of the fraction. 7.8×x2.6=y+7.8×17.8 \times \frac{x}{2.6} = y + 7.8 \times 1 Simplify the equation. 7.82.6×x=y+7.8\frac{7.8}{2.6} \times x = y + 7.8 3×x=y+7.83 \times x = y + 7.8 The slope of the line is the coefficient of xx, which is 33.

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