Linear Functions Pre-test Questions

1. What is the formula for slope?

Rise over run

Run over rise

X over Y

Y-intercept times X-intercept divided by pie

The opposite of the X-intercept

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.

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.

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

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.

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?

Y=-2x+18

Y=-(2/3)x+18

Y=-(2/3)x+6

Y=2x+6

Y=(2/3)x+18

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.

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.

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

Y=2x+6

Y=x+3

2x+3y=17

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.

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.