Straight-Line Relationships: Fill the Gap

Read about linear equations, then fill each gap with the word the passage uses.

Story Brief #204

Linear equations are mathematical statements that show a relationship between two variables using a straight line when graphed.

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Linear equations are mathematical statements that show a relationship between two variables using a straight line when graphed. They typically follow the format y = mx + b, where m represents the slope, and b is the y-intercept. The slope indicates how steep the line is, while the y-intercept tells you where the line crosses the y-axis. For example, in the equation y = 2x + 3, the slope is 2, meaning for every increase of 1 in x, y increases by 2.

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The y-intercept is 3, which means the line crosses the y-axis at (0, 3). To solve for y when x is 2, you substitute 2 for x: y = 2(2) + 3, resulting in y = 7. This shows how linear equations can be used to find values and understand relationships between variables.

Question 1

1 of 2

Which word does the passage use to complete this sentence? “They _____ follow the format y = mx + b, where m represents the slope, and b is the y-intercept.”

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Question 2

2 of 2

Which word does the passage use to complete this sentence? “This shows how linear equations can be used to find values and _____ relationships between variables.”

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Straight-Line Relationships: Fill the Gap

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