Linear Equations in Standard Form

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

Convert the equation 2x - 2 = 6y to standard form.

Back

2x - 6y = 2.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, which occurs when y = 0.

Front

Find the x-intercept of the ordered pairs (8,10), (3,-4), (0,8), (4,-3), (9,0).

Back

(9,0).

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y = 0 and solve for x: 3x = 24, so x = 8. The x-intercept is (8,0).

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, which occurs when x = 0.

Front

Find the y-intercept of the equation 3x + y = 5.

Back

Set x = 0 and solve for y: y = 5. The y-intercept is (0,5).

Front

What does the equation x = -3 represent?

Back

It represents a vertical line with an undefined slope that crosses the x-axis at -3.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.