Algebra Q2W1 Weekly Flashcard

Front

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

Back

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

Slope (m) = (y2 - y1) / (x2 - x1).

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 (x=0).

Front

Convert the equation -2x + 8y = 2 to slope-intercept form.

Back

y = 1/4x + 1/4.

Front

What is the slope of the line represented by the equation y = 3x - 2?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -1/3x - 2?

Back

The y-intercept is -2.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

The line rises 2 units for every 1 unit it moves to the right.

Front

Write the equation of a line with a slope of 1/3 and a y-intercept of -2.

Back

y = 1/3x - 2.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.