Slope from equations

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness or incline of a line, represented by 'm' in the equation y=mx+b.

Front

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

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation.

Front

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

Back

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 = 3x + 4?

Back

The slope of the line is 3.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the format y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you identify the slope from the equation in standard form Ax + By = C?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope 'm'.

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.