Identify Slope and Y-Intercept from a Graph

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by calculating the rise over run between two points on the line.

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope is 5.

Front

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

Back

The y-intercept is 4.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line descends from left to right.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of the equation y = 0.5x - 1?

Back

The y-intercept is -1.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, find the vertical change (rise) and horizontal change (run), then divide rise by run.