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 the formula 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 = -3/2x + 4?

Back

In the equation y = -3/2x + 4, the slope (m) is -3/2.

Front

What does the y-intercept represent in the equation y = -x + 2?

Back

In the equation y = -x + 2, the y-intercept (b) is 2, which means the line crosses the y-axis at the point (0, 2).

Front

If a line has a slope of 2/3, how would you express its equation with a y-intercept of -3?

Back

The equation of the line with a slope of 2/3 and a y-intercept of -3 is y = 2/3x - 3.

Front

What is the slope of the line represented by the equation y = 3x + 6?

Back

The slope of the line represented by the equation y = 3x + 6 is 3.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

How can you convert the equation y = 4 into slope-intercept form?

Back

The equation y = 4 can be expressed in slope-intercept form as y = 0x + 4, indicating a slope of 0.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x; it shows how steep the line is and the direction it moves.

Front

How do you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept can be found by setting x = 0. In this case, y = 5, so the y-intercept is (0, 5).

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined because it does not have a defined rise over run.