Understanding Slope and Intercepts

These flashcards cover key concepts related to slope and intercepts in linear equations.

What is slope?

Slope is a measure of the steepness of a line, calculated as the ratio of the rise (change in y) over the run (change in x).

What is the y-intercept?

The y-intercept is the point where a line crosses the y-axis, representing the value of y when x is zero.

How do you graph y = 2x + 1?

To graph y = 2x + 1, plot the y-intercept (0, 1) and use the slope (2) to rise 2 units up for every 1 unit you run to the right.

What does a negative slope look like?

A negative slope indicates that as x increases, y decreases, resulting in a line that slopes downwards from left to right.

How do you calculate slopes between two points (2,3) and (5,9)?

To calculate the slope between the points (2,3) and (5,9), use the formula (y2 - y1) / (x2 - x1), which results in (9 - 3) / (5 - 2) = 6 / 3 = 2.

For y = -3x + 6, what is the slope?

The slope for the equation y = -3x + 6 is -3.

Which point is the y-intercept of y = 4x - 5?

The y-intercept of y = 4x - 5 is the point (0, -5).

True or False: A slope of zero means the line is horizontal.

True.