Writing equations review

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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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 by the value of b in the slope-intercept form y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to another is the negative reciprocal. Therefore, if the slope is 2, the perpendicular slope is -1/2.

Front

Write the equation of a line parallel to y = 3 through the point (2, 5).

Back

The equation is y = 5, since parallel lines have the same slope.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The slope indicates the steepness of the line and the direction it moves: positive slope means the line rises, negative slope means it falls.

Front

If the equation of a line is y = 1/3x + 2, what is the slope?

Back

The slope is 1/3.