Unit 3: Linear Equations Test Prep

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or the steepness of the line, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

If Sonya has $40 and spends $2 each day, what does the equation y = -2x + 40 represent?

Back

The equation represents the amount of money Sonya has left in her lunch account after x days.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the starting value of y when x is zero, providing a point where the line crosses the y-axis.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine the slope from two given points on a graph?

Back

By using the slope formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the equation y = -2x + 40?

Back

The y-intercept is 40, which means the line crosses the y-axis at the point (0, 40).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you rearrange the equation -6x + 3y = 9 to solve for y?

Back

To solve for y, add 6x to both sides and then divide by 3: y = 2x + 3.

Tags

CCSS.HSA.CED.A.4

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (12, -2) and (4, -6)?

Back

The slope is 1/2.

Tags

CCSS.8.EE.B.5