slope intercept form flashcard

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

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

Back

The 'b' represents the y-intercept, which is 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

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 = 4x + 5?

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

The slope (m) is -2.

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of -4?

Back

The equation would be y = 1x - 4 or simply y = x - 4.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

How can you determine the y-intercept from the equation y = 3x + 2?

Back

The y-intercept is found by setting x = 0, which gives y = 2, so the y-intercept is (0, 2).

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, indicating a horizontal line.