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

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

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

Back

The y-intercept is 2, which is the point (0, 2) on the graph.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not have a defined slope value.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

How can you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, which is m.

Front

What is the equation of a line with a slope of 2 that passes through the origin?

Back

The equation is y = 2x.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.