y=mx+b

Front

What does the equation y=mx+b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y=4x+5?

Back

The slope (m) is 4.

Front

What is the y-intercept in the equation y=2x+5?

Back

The y-intercept (b) is 5.

Front

How do you find the value of y when x=7 in the equation y=4x+5?

Back

Substitute x with 7: y=4(7)+5 = 28+5 = 33.

Front

Which equation has a positive y-intercept and a negative slope?

Back

y=-3x+5.

Front

What is the y-intercept of the equation y=-3x-1?

Back

The y-intercept is -1.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

If the slope is 0, what does that indicate about the line?

Back

The line is horizontal.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C.

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if negative, the line is decreasing.