Slope-Intercept Form

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 the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How do you determine if the slope of a line is positive or negative?

Back

If the slope is positive, the line rises from left to right; if negative, the line falls from left to right.

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of 0?

Back

The equation would be y = 1x + 0, or simply y = x.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope of the line is 3.

Front

How do you convert the equation y = -2x + 4 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is -2 and the y-intercept is 4.

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, meaning there is no change in y as x changes.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -1x + 2, or y = -x + 2.

Front

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

Back

The slope can be calculated using the formula m = (y2 - y1) / (x2 - x1).