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Graph y = 1.1x - 3.2 in a rectangular coordinate system. Find the x- and y-intercepts algebraically. Choose...

Graph y = 1.1x - 3.2 in a rectangular coordinate system. Find the x- and y-intercepts algebraically.
Choose the correct graph below.
The x-intercept is ____ (Round to one decimal place as needed.)
The y-intercept is ____ (Round to one decimal place as needed.)

Answer

Graph: To find the intercepts, solve the equation y = 1.1x - 3.2.

  1. X-intercept: Set y = 0 and solve for x.
    0 = 1.1x - 3.2
    1.1x = 3.2
    x = 3.2 / 1.1 ≈ 2.9
    The x-intercept is approximately 2.9.
  2. Y-intercept: Set x = 0 and solve for y.
    y = 1.1(0) - 3.2
    y = -3.2
    The y-intercept is -3.2.

Correct Graph: The graph that passes through the points (2.9, 0) and (0, -3.2) is the correct one.

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