Tables to Equations Flashcard

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you determine the equation of a line from a table of values?

Back

To determine the equation, identify the pattern in the changes of x and y values, calculate the slope (m), and find the y-intercept (b). Then, write the equation in the form y = mx + b.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

If the slope of a line is 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning that y does not change as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all pairs of values.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if the lines represented by the equations are parallel and never intersect.