Digital SAT Math Practice Question #1158
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Complete the square to find the circle's center coordinates (h, k). Substitute (h, k) into the line equation.
Desmos Shortcut: Paste the entire circle equation into Desmos line 1. The center point is clearly visible at (4, -7).
Complete the square for the circle: (x^2 - 8x + 16) + (y^2 + 14y + 49) = 35 + 16 + 49 => (x - 4)^2 + (y + 7)^2 = 100. The center of the circle is (4, -7). If the line y = 3x + b passes through this center, substitute (4, -7): -7 = 3(4) + b ...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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