Unit 2 Lesson 6-11 Test REVIEW

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 do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 and solve for y.

Front

What is the x-intercept of a linear equation?

Back

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

Front

How can you convert 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 it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line on a graph.

Front

What is the process for finding the slope of a line given two points?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

Front

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

Back

The coefficients in a linear equation represent the slope and the y-intercept, determining the line's steepness and position.

Front

How do you simplify the expression 36x + 24?

Back

You can factor out the greatest common factor: 36x + 24 = 12(3x + 2).

Front

What is the meaning of the term 'intercept' in the context of linear equations?

Back

An intercept is a point where a line crosses an axis; the x-intercept is where y = 0, and the y-intercept is where x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.