enVision PreAlgebra 8 Topic 2 Review

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are an infinite number of values that satisfy the equation, often because the two sides of the equation are equivalent for all values of the variable.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line that passes through the points (5,2) and (7,-4)?

Back

The slope is -3.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 5 and a y-intercept of -2, what is the equation of the line?

Back

The equation is y = 5x - 2.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form to write the equation.

Front

What is the slope of a line that rises 3 units for every 2 units it runs to the right?

Back

The slope is 3/2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.