Slope & Slope-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

'b' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

Front

How do you find 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

Convert the points (0,-1) and (2,1) into slope-intercept form.

Back

The slope-intercept form is y = x - 1.

Front

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

Back

The slope of the line is -2.

Front

If a line has a slope of 3/5, what does this indicate about the line's steepness?

Back

A slope of 3/5 indicates that for every 5 units moved horizontally to the right, the line rises 3 units vertically.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Write the slope-intercept form of a line with a slope of -5/3 and a y-intercept of 2.

Back

The equation is y = -\frac{5}{3}x + 2.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.