Station 2: Linear Key Features

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is the value of y when x = 0. For the equation y = -2x + 5, the y-intercept is 5.

Front

Given the table of values, which point is a y-intercept?

Back

A y-intercept is the point where the graph crosses the y-axis, which occurs when x = 0. In this case, the y-intercept is 32.

Front

What does the x-intercept of the graph represent?

Back

The x-intercept represents the number of hours the truck was driven before running out of fuel.

Front

Back

Front

Back

The slope is 12.

Front

Define slope in the context of a linear equation.

Back

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

Front

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

Back

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 significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.