Equations and Lines Flashcard

Front

What is the slope of the line in the equation y = mx + b?

Back

The slope is represented by 'm'.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept is the value of 'b', where the line crosses the y-axis.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of the perpendicular line is -1/2.

Front

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

Back

The equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

If a line has a slope of 0, what type of line is it?

Back

It is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

It is a vertical line.

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the line y = ½ x - 5?

Back

The y-intercept is -5.

Front

Write the equation of the line that is perpendicular to y = 2/5x - 2 and passes through (0, -12).

Back

The equation is y = -5/2x - 12.