Linear Functions Pre-test Questions

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1. What is the formula for slope?

Explanation

The formula for slope is rise over run. This means that to calculate the slope of a line, you divide the vertical change (rise) by the horizontal change (run) between any two points on the line. The rise over run formula allows us to quantify the steepness or incline of a line and is a fundamental concept in mathematics and physics.

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About This Quiz
One Variable Equations Quizzes & Trivia

This is a basic assessment on linear functions. It is designed as a basic tool to find the skill level of students in this area.

2. The form of a function that is written as ax+by=c is __________ form.

Explanation

The form of a function that is written as ax+by=c is called the standard form. In this form, the coefficients of x and y are represented by a and b respectively, and c is the constant term. Standard form is often used in mathematics to represent linear equations in two variables.

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3. What is '2x+3y=18' in slope intercept form?

Explanation

The equation '2x+3y=18' can be rearranged into slope-intercept form, which is y=mx+b, where m represents the slope and b represents the y-intercept. By isolating the y-term, we can rewrite the equation as y=-(2/3)x+6. This means that the slope of the line is -2/3 and the y-intercept is 6.

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4. What formula describes the line presented to you on the board? (in slope intercept form)

Explanation

The correct answer is y=x+3. This is because the equation is already in slope-intercept form, which is y=mx+b, where m represents the slope and b represents the y-intercept. In this case, the slope is 1 (since the coefficient of x is 1) and the y-intercept is 3. Therefore, the equation y=x+3 describes the line presented on the board.

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What is the formula for slope?
The form of a function that is written as ax+by=c is __________ form.
What is '2x+3y=18' in slope intercept form?
What formula describes the line presented to you on the board? (in...
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