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Determine the intercepts of the line.
Do not round your answers.

{:[y=-7x+3],[y"-intercept: "(◻","◻)],[x"-intercept: "(◻","◻)]:}

Determine the intercepts of the line.\newlineDo not round your answers.\newliney=7x+3 y=-7 x+3 \newliney y -intercept: (,) (\square, \square) \newlinex x -intercept: (,) (\square, \square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney=7x+3 y=-7 x+3 \newliney y -intercept: (,) (\square, \square) \newlinex x -intercept: (,) (\square, \square)
  1. Finding the y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.y=7(0)+3y = -7(0) + 3y=0+3y = 0 + 3y=3y = 3
  2. Determining the y-intercept point: The y-intercept is the point where the line crosses the y-axis, which occurs when x=0x = 0. Therefore, the y-intercept is at (0,y)(0, y).\newlineThe y-intercept of the line is (0,3)(0, 3).
  3. Finding the x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.
    0=7x+30 = -7x + 3
    7x=3-7x = -3
    x=37x = \frac{-3}{-7}
    x=37x = \frac{3}{7}
  4. Determining the x-intercept point: The x-intercept is the point where the line crosses the x-axis, which occurs when y=0y = 0. Therefore, the x-intercept is at (x,0)(x, 0).\newlineThe x-intercept of the line is (37,0)\left(\frac{3}{7}, 0\right).

More problems from Standard form: find x- and y-intercepts