Slope intercept form

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = 3x + 5?

Back

In the equation y = 3x + 5, the slope (m) is 3.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 2 units.

Front

What is the y-intercept in the equation y = 4x - 7?

Back

The y-intercept in the equation y = 4x - 7 is -7.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert 2x + 3y = 6 into slope-intercept form, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness or incline of the line, calculated as the change in y divided by the change in x (rise/run).

Front

In the equation y = -5x + 1, what is the slope and what is the y-intercept?

Back

The slope is -5 and the y-intercept is 1.

Front

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

Back

The slope (m) between two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the coefficient of x in the slope-intercept form?

Back

The coefficient of x in the slope-intercept form represents the slope of the line.