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Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

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

Back

Set y to 0 and solve for x.

Front

What is the slope of the line in the equation y = 4x + 3?

Back

The slope is 4.

Front

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

Back

y - y₁ = m(x - x₁) where m is the slope and (x₁, y₁) is a point on the line.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = 4/3x - 4.

Front

What are the x- and y-intercepts of the equation 3x + 4y = -12?

Back

The x-intercept is (-4, 0) and the y-intercept is (0, -3).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you determine if a linear equation is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if negative, it is decreasing.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, cost per item, or any rate of change.