SAT Math Practice Question #170 (Medium (560)) | Test Citadel
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SAT Math Difficulty: Medium (560)

Digital SAT Math Practice Question #170

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

In the \( xy \)-plane, line \( k \) passes through the points \( (0, 4) \) and \( (3, 10) \). Line \( m \) is parallel to line \( k \) and has a \( y \)-intercept of \( (0, -2) \). What is the equation of line \( m \)?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

Break down the given equation or algebraic constraints step-by-step. Isolate the target variable before substituting known quantities.

Elimination Framework (Hint 2)

Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.

Masterclass Solution & Distractor Trap Analysis

This is a fantastic geometry and linear equations problem. We need to construct the equation for line \( m \) using the slope-intercept form: \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Step 1: Find the slop...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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