Points B and C are on the line y = 2x + 3. Point A is the y-intercept of the line. If AB = AC, what is the relationship between A, B, and C?

May 6, 2026Mathematics

ScanSolve AI Answer

May 6, 2026

Answer

2x + 3 $. To find the y-intercept, we set$ x = 0$.

Here's a step-by-step solution to the problem:

Step 1: Find the coordinates of point A. Point A is the y-intercept of the line $y = 2x + 3$ . To find the y-intercept, we set $x = 0$ . $y = 2(0) + 3$ $y = 3$ So, the coordinates of point A are $(0, 3)$ .

Step 2: Determine the relationship between A, B, and C. Points B and C are on the line $y = 2x + 3$ . The condition $AB = AC$ means that point A is the midpoint of the line segment BC, because A, B, and C

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Here's a step-by-step solution to the problem: Step 1: Find the coordinates of point A.

Asked on May 6, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 6, 2026

Here's a step-by-step solution to the problem: Step 1: Find the coordinates of point A. Point A is the y-intercept of the line y = 2x + 3. To find the y-intercept, we set x = 0. y = 2(0) + 3 y = 3 So, the coordinates of point A are (0, 3). Step 2: Determine the relationship between A, B, and C. Points B and C are on the line y = 2x + 3. The condition AB = AC means that point A is the midpoint of the line segment BC, because A, B, and C