Slope & Slope-Intercept

Front

What is the formula for calculating slope?

Back

Slope (m) = \frac{rise}{run}

Front

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

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}

Front

What does 'rise' represent in the context of slope?

Back

'Rise' represents the vertical change between two points.

Front

What does 'run' represent in the context of slope?

Back

'Run' represents the horizontal change between two points.

Front

What is the slope of the line that passes through the points (3, -1) and (4, 7)?

Back

The slope is 8.

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

Write the slope-intercept form of the equation for a line with a slope of -2 and a y-intercept of -4.

Back

y = -2x - 4.

Front

If a plumber charges $50 for a house call plus $12 per hour, what is the equation representing the total cost (y) in terms of hours worked (x)?

Back

y = 12x + 50.

Front

What is the slope of a line that rises 2 units for every 3 units it runs?

Back

The slope is \frac{2}{3}.

Front

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

Back

A slope of 3 indicates a steep line that rises 3 units for every 1 unit it runs.