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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 identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in a linear equation?

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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.

Front

How can you find the y-intercept from the equation y = -2x + 3?

Back

The y-intercept is found by setting x = 0, which gives y = 3, so the y-intercept is (0, 3).

Front

What is the slope of the line represented by the equation y = 1/2x - 1?

Back

The slope of the line is 1/2.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -1x + 2.

Front

How do you convert the equation y = 3x + 1 into standard form?

Back

To convert to standard form, rearrange to get -3x + y = 1 or 3x - y = -1.