Finding Slope and Y-intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x to 0 in the equation and solve for y.

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

What does the y-intercept represent in a graph?

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is (0, 4).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, indicating a horizontal line.

Front

What is the y-intercept of the equation y = 1/2x - 3?

Back

The y-intercept is (0, -3).

Front

How do you convert the equation y = 3x + 2 into slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b, where m = 3 and b = 2.