Standard Form and X-Y Intercepts

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the x-intercept represent in a graph?

Back

The x-intercept represents the point where the graph crosses the x-axis, indicating the value of x when y = 0.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the graph crosses the y-axis, indicating the value of y when x = 0.

Front

If the equation is 3x + 4y = 24, what is the x-intercept?

Back

The x-intercept is 8.

Front

If the equation is 4x - 10y = 20, what is the x-intercept?

Back

The x-intercept is 5.

Front

In the context of budgeting, what does the y-intercept represent?

Back

The y-intercept represents the maximum quantity of one item that can be purchased when the other item is not purchased.

Front

What is the equation for a budget problem involving two items?

Back

The equation is typically in the form of x + 2y = budget, where x and y are quantities of the two items.

Front

If you have $18 to spend on items costing $1 and $2, what is the equation?

Back

The equation is x + 2y = 18.