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 word problem?

Back

The x-intercept represents the quantity of one variable when the other variable is zero.

Front

What does the y-intercept represent in a word problem?

Back

The y-intercept represents the quantity of one variable when the other variable is zero.

Front

If a linear equation is given as 2x - 5y = 35, what is the y-intercept?

Back

The y-intercept is (0, -7).

Front

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

Back

The x-intercept is 8.

Front

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

Back

The equation is typically in the form of Ax + By = C, where A and B are the costs of the items, and C is the total budget.

Front

In the equation 7x + 4y = 28, what do x and y represent?

Back

x represents the number of Tech-decks, and y represents the number of bags of jumbo Takis.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients represent the rate of change of the dependent variable with respect to the independent variable.