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Ch. 2 - Graphs and Functions
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
3장, 문제 2

Fill in the blank to correctly complete each sentence. The point (4,_____ ) lies on the graph of the equation y = 3x - 6.

검증된 단계별 안내
1
Identify the given equation of the graph: \(y = 3x - 6\).
Recognize that the point has an x-coordinate of 4, so substitute \(x = 4\) into the equation.
Calculate the corresponding y-coordinate by evaluating \(y = 3(4) - 6\).
Simplify the expression to find the value of \(y\).
Write the complete point as \((4, y)\) using the value found in the previous step.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
55s
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Understanding the Equation of a Line

The equation y = 3x - 6 represents a linear function where y depends on x. It shows that for any x-value, y can be found by multiplying x by 3 and then subtracting 6. This relationship forms a straight line on the coordinate plane.
추천 영상:
05:39
Standard Form of Line Equations

Substitution Method

To find a missing coordinate on a graph, substitute the known x-value into the equation to solve for y. This method allows you to determine the corresponding y-value that satisfies the equation for the given x.
추천 영상:
04:03
Choosing a Method to Solve Quadratics

Coordinate Points on a Graph

A point on a graph is represented as (x, y), where x is the horizontal position and y is the vertical position. For a point to lie on a graph of an equation, its coordinates must satisfy the equation.
추천 영상:
02:16
Graphs and Coordinates - Example