Find Slope and Y-Intercept in Tables, Graphs, Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (vertical) divided by the change in x (horizontal).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

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?

Back

To find the y-intercept from an equation in the form y = mx + b, the y-intercept is the value of b.

Front

What is the y-intercept in the equation y = 3x + 2?

Back

The y-intercept is 2, represented as the point (0, 2).

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What is the initial value in a context problem?

Back

The initial value is the starting point of a situation, often represented by the y-intercept in a linear equation.

Front

What is the slope of the line represented by the equation y = 2x - 4?

Back

The slope is 2.