Review Linear Equations

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 (m) represent in a linear equation?

Back

The slope (m) 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 (b) in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you find the value of y when x = 2 in the equation y = x + 6?

Back

Substitute x = 2 into the equation: y = 2 + 6, so y = 8.

Front

What is the function of the table if it shows the relationship y = x - 3?

Back

The function of the table is to show that for every value of x, y is 3 less than x.

Front

If y = 2x + 1, what is the value of y when x = 3?

Back

Substitute x = 3 into the equation: y = 2(3) + 1, so y = 7.

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.

Front

What is the graphical representation of the equation y = 2x?

Back

The graph is a straight line that passes through the origin (0,0) with a slope of 2.

Front

How can you determine if a point (x, y) lies on the line represented by a linear equation?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function assigns exactly one output (y) for each input (x), while a non-function may assign multiple outputs for a single input.