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

y-3=5(x-2)

y-intercept: 
(◻,◻)

x-intercept: 
(◻,◻)

Determine the intercepts of the line.\newlineDo not round your answers.\newliney3=5(x2)y-3=5(x-2)\newliney-intercept: \newline(,)(\square,\square)\newlinex-intercept: \newline(,)(\square,\square)

Full solution

Q. Determine the intercepts of the line.\newlineDo not round your answers.\newliney3=5(x2)y-3=5(x-2)\newliney-intercept: \newline(,)(\square,\square)\newlinex-intercept: \newline(,)(\square,\square)
  1. Find y-intercept: To find the y-intercept, we set xx to 00 and solve for yy.y3=5(02)y - 3 = 5(0 - 2)y3=10y - 3 = -10y=10+3y = -10 + 3y=7y = -7The y-intercept is at (0,7)(0, -7).
  2. Find x-intercept: To find the x-intercept, we set yy to 00 and solve for xx.03=5(x2)0 - 3 = 5(x - 2)3=5x10-3 = 5x - 105x=3+105x = -3 + 105x=75x = 7x=75x = \frac{7}{5}x=1.4x = 1.4The x-intercept is at (1.4,0)(1.4, 0).

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