Chapter 3 test review

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

How do you determine if an ordered pair is a solution to an equation?

Back

Substitute the x-value of the ordered pair into the equation and see if the resulting y-value matches the y-value of the ordered pair.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of the equation y = 2x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

How can you find the equation of a line given two points?

Back

Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use point-slope form to write the equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

The coefficients determine the slope and the y-intercept of the line, affecting its steepness and position.

Front

How do you solve for y in the equation 2x + 3y = 6?

Back

Rearrange the equation to isolate y: 3y = 6 - 2x, then divide by 3: y = 2 - (2/3)x.

Front

What is the relationship between the equations y = 2x + 1 and y = 2x + 4?

Back

Both equations have the same slope (2) but different y-intercepts, meaning they are parallel lines.

Front

How do you identify a pattern in a sequence of numbers?

Back

Look for a consistent difference or ratio between consecutive terms to determine the rule governing the sequence.