Finding x and y intercepts

Front

What is the x-intercept of the graph of 3x + 4y = 24?

Back

The x-intercept occurs when y = 0. To find it, set y to 0: 3x + 4(0) = 24, which simplifies to x = 8.

Front

Which ordered pair could represent a y-intercept on a graph?

Back

The y-intercept occurs when x = 0. The ordered pair (0, 4) represents a y-intercept.

Front

What is the formula for 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.

Front

How do you find the y-intercept of the equation -2x + 3y = 6?

Back

Set x = 0: -2(0) + 3y = 6, which simplifies to y = 2. The y-intercept is (0, 2).

Front

What does the slope-intercept form of a line look like?

Back

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

Front

How do you determine the x-intercept of the equation x + y = 3?

Back

Set y = 0: x + 0 = 3, which gives x = 3. The x-intercept is (3, 0).

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

What is the significance of the point (a, 0) in a linear equation?

Back

The point (a, 0) represents the x-intercept of the line, where the line crosses the x-axis.

Front

How can you convert the equation 2x - 3y = 6 to slope-intercept form?

Back

Rearranging gives y = (2/3)x - 2. The slope is 2/3 and the y-intercept is -2.

Front

What is the graphical representation of the equation y = 2x + 1?

Back

This is a straight line with a slope of 2 and a y-intercept of 1.