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

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

Back

The slope is represented by the coefficient m in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

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

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 of the line is 2.

Front

How can you determine if a slope is positive or negative from an equation?

Back

If the coefficient of x (m) is positive, the slope is positive; if it is negative, the slope is negative.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where a is a constant.

Front

What is the significance of a line with a slope of -1?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from standard form Ax + By = C, set x = 0 and solve for y.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.