finding slope and y intercept practice

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line y = mx + b.

Front

Identify the slope in the equation: y = 4x - 10

Back

The slope (m) in the equation y = mx + b is the coefficient of x. Here, the slope is 4.

Front

Which ordered pair represents the y-intercept of the graph?

Back

The y-intercept is represented by the ordered pair (0, b). In this case, it is (0, 2).

Front

Find the slope of the line between the points (1, 2) and (3, 6).

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, you move 1 unit up.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.