Alg 1: Mod 5 Review

Front

What is standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you determine the slope of a line from its equation?

Back

The slope of a line in the equation y = mx + b is represented by 'm'. For example, in y = -5x + 3, the slope is -5.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other line's slope will be -1/m.

Front

How do you find the slope of a line parallel to a given line?

Back

Lines that are parallel have the same slope. If the given line has a slope of m, the parallel line will also have a slope of m.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

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

How do you identify the slope from a graph of a line?

Back

The slope can be identified by calculating the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is the significance of the coefficients in the standard form of a linear equation?

Back

In the standard form Ax + By = C, A and B represent the direction of the line, while C represents the position of the line relative to the origin.

Front

How do you write an equation for a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.