Slope Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope, which indicates the rate of change of y with respect to x.

Front

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

Back

In the equation y = mx + b, '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) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope of the line is 4.

Front

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

Back

The y-intercept of the line is 3.

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

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

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 y = -x + 4.

Front

What is the equation of a line that passes through the point (0, -5) and has a slope of 3?

Back

The equation is y = 3x - 5.