Writing Linear Equations Review

Front

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

Back

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

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 does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Write the equation of a line in slope-intercept form with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Front

What is the slope of the line represented by the equation 4y = 8x + 12?

Back

The slope is 2, found by rewriting the equation in slope-intercept form.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y in terms of x.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the equation of a line that passes through the point (0, 0) with a slope of -1?

Back

y = -x.