2.5* Flashcard- Linear Equations

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

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where 'b' is the y-coordinate of any point on the line.

Front

How do you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of 'b' in the equation.

Front

What is the y-intercept of the equation y = 3x + 2?

Back

The y-intercept is (0, 2).

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

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

Back

It is a horizontal line.