X- & Y- Intercepts and Slope Intercept Form WS

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is 0.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = (y2 - y1) / (x2 - x1)).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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 does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What are the coordinates of the x-intercept if the line is given by the equation y = 3x - 6?

Back

To find the x-intercept, set y = 0: 0 = 3x - 6, so x = 2. The x-intercept is (2, 0).

Front

What are the coordinates of the y-intercept if the line is given by the equation y = -rac{1}{2}x + 3?

Back

To find the y-intercept, set x = 0: y = -rac{1}{2}(0) + 3, so y = 3. The y-intercept is (0, 3).

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept often represents the starting value or initial condition in a real-world scenario.