Standard Form and X-Y Intercepts

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

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

Back

Set x = 0 and solve for y.

Front

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

Back

Set y = 0 and solve for x.

Front

What is the y-intercept of the equation 2x - 5y = 35?

Back

(0, -7)

Front

What is the x-intercept of the equation 4x - 5y = 40?

Back

(10, 0)

Front

What is the formula to convert from standard form to slope-intercept form?

Back

Solve for y: y = mx + b.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The rate of change of y with respect to x.

Front

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

Back

x = number of Tech-decks, y = number of bags of Takis.

Front

What is the y-intercept in the context of the Tech-decks and Takis problem?

Back

(0, 7) - This means if you buy 0 Tech-decks, you can buy 7 bags of Takis.

Front

What is the significance of the x-intercept in a word problem?

Back

It represents the maximum value of x when y = 0.