WSMS: 7th Accel. Linear Equations

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What is the fixed fee in a linear cost equation?

Back

The fixed fee is the constant term (b) in the equation, representing the cost when x (miles) is zero.

Front

If a taxi charges $2.75 per mile, what is the slope of the cost function?

Back

The slope of the cost function is $2.75, representing the charge per mile.

Front

What is the equation of a line with a slope of 1/2 and a y-intercept of 0?

Back

The equation is y = 1/2x.

Front

How do you determine if a point (x, y) lies on a line represented by an equation?

Back

Substitute the x value into the equation and see if the resulting y value matches the y coordinate of the point.