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Which of the following represents the graph of the equation x-0.6=-0.4(y-1.5) ? Choose 1 answer: (A) (B) (C) (D)

Which of the following represents the graph of the equation x−0.6=−0.4(y−1.5) x-0.6=-0.4(y-1.5) ?\newlineChoose 11 answer:\newline(A)\newline(B)\newline(C)\newline(D)

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Describe the graph of a linear equationright chevron icon

Full solution

Q. Which of the following represents the graph of the equation x−0.6=−0.4(y−1.5) x-0.6=-0.4(y-1.5) ?\newlineChoose 11 answer:\newline(A)\newline(B)\newline(C)\newline(D)
  1. Equation in Slope-Intercept Form: Now we have the equation in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.\newlineThe slope m=2.5m = 2.5 and the y-intercept b=−3b = -3.
  2. Graphing the Equation: To graph this, we start at the y-intercept (0,−3)(0, -3) and use the slope to find another point.\newlineFrom (0,−3)(0, -3), we go up 2.52.5 units and right 11 unit to get to the next point (1,−0.5)(1, -0.5).
  3. Drawing the Line: We can now draw a line through these two points, which will be the graph of the equation y=2.5x−3y = 2.5x - 3. This line represents all the solutions to the equation.

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