algebra1 EOC#2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate 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 formula for the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by: 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 y when x = 0.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

How do you find the rate of change from a table of values?

Back

The rate of change can be found by calculating the difference in y-values divided by the difference in x-values between two points.

Front

What does it mean for y to vary directly with x?

Back

If y varies directly with x, it means that y = kx for some constant k, indicating a linear relationship through the origin.

Front

How do you evaluate a function at a given value?

Back

To evaluate a function f(x) at a specific value, substitute the value into the function and simplify.

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 determine the equation of a line given two points?

Back

To find the equation of a line given two points, first calculate the slope using the two points, then use the point-slope form: y - y1 = m(x - x1).