CW: Analyzing Functions and Intercepts

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

How do you find the x-intercept of the equation 3x + 4y = 24?

Back

Set y = 0 and solve for x: 3x + 4(0) = 24, which gives x = 8.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the y-intercept of the equation 3x + 4y = 24?

Back

Set x = 0 and solve for y: 3(0) + 4y = 24, which gives y = 6.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What are intercepts in the context of a graph?

Back

Intercepts are points where the graph intersects the axes: x-intercept (where y=0) and y-intercept (where x=0).

Front

How do you find the x-intercept of the equation 5x - 3y = 15?

Back

Set y = 0: 5x - 3(0) = 15, which gives x = 3.

Front

How do you find the y-intercept of the equation 5x - 3y = 15?

Back

Set x = 0: 5(0) - 3y = 15, which gives y = -5.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you convert the equation 4x - 5y = 40 to slope-intercept form?

Back

Rearrange to y = (4/5)x - 8.