Linear Inequalities Review Flashcardizz

Front

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

Back

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

Front

How do you write the equation of a line in point-slope form?

Back

The point-slope form of a line is written as: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

What does the term 'Unit Rate' mean in relation to linear equations?

Back

The Unit Rate refers to the constant of proportionality, which is the same as the slope of the line.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation, 'm' represents the slope of the line.

Front

What type of line is used when graphing inequalities with < or >?

Back

A dashed line is used when graphing inequalities with < or >.

Front

What type of line is used when graphing inequalities with ≤ or ≥?

Back

A solid line is used when graphing inequalities with ≤ or ≥.

Front

How do you determine the slope from the equation y = mx + b?

Back

The slope 'm' can be directly read from the equation in slope-intercept form.

Front

What is the significance of the y-intercept in the equation y = mx + b?

Back

The y-intercept 'b' is the point where the line crosses the y-axis.

Front

How can you convert the equation y = 1/2x - 2 into standard form?

Back

To convert to standard form, rearrange to: 1/2x - y = 2, then multiply by 2 to eliminate the fraction: x - 2y = 4.

Front

What does the slope of a line indicate about its steepness?

Back

The slope indicates how steep the line is; a larger absolute value of 'm' means a steeper line.