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 find the slope of a line given 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 y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

Convert the equation y = 4x + 2 to standard form.

Back

The standard form is 4x - y = -2.

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

Write the equation of the line that passes through the points (1, 2) and (3, 6).

Back

The equation is y = 2x.

Front

How do you convert the equation y = -2x + 4 to standard form?

Back

Rearranging gives 2x + y = 4.

Front

What is the slope of the line represented by the equation y = -rac{1}{3}x + 2?

Back

The slope is -rac{1}{3}.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.