Algebra 1 EOC Review 1

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that is perpendicular to a line with a slope of 5?

Back

The slope of a line perpendicular to a line with slope 5 is -1/5.

Front

What is the slope of a line that is parallel to a line with a slope of -3?

Back

The slope of a line parallel to a line with slope -3 is also -3.

Front

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

Back

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

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you determine the y-intercept of a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the value of b in the equation y = mx + b.

Front

What is the equation of a line that has a slope of 2 and passes through the point (3, 4)?

Back

Using the point-slope form, the equation is y - 4 = 2(x - 3), which simplifies to y = 2x - 2.