slope intercept

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

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

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

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

The y-intercept is 5.

Front

If the slope of a line is 3/4, what does this mean?

Back

It means that for every 4 units you move to the right on the x-axis, you move up 3 units on the y-axis.

Front

What is the y-intercept in the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

How can you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, which is m.

Front

What is the slope of the line represented by the equation y = 7x + 1?

Back

The slope is 7.

Front

If a line has a slope of -3/2, what does this indicate about the line?

Back

It indicates that the line is decreasing; as x increases, y decreases.