Algebra 1 EOC Review 1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

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

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 equation y = mx + b.

Front

How do you solve for y in the equation 5x - y = 16?

Back

To solve for y, rearrange the equation to get y = 5x - 16.

Front

What is the cost equation for a holiday meal that costs $12.50 per person plus a $30 delivery fee?

Back

The cost equation is y = 12.5x + 30, where x is the number of people.

Front

What happens to the slope of a line when it is multiplied by -2?

Back

Multiplying the slope by -2 reverses its direction and doubles its steepness.

Front

If the y-intercept of a line is shifted down by 6 units, how does the equation change?

Back

The new y-intercept will be b - 6, changing the equation to y = mx + (b - 6).

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other (m1 * m2 = -1).