2-9 Slope Intercept Form y = mx + b

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = 5x + 8?

Back

The y-intercept is the value of y when x = 0. For y = 5x + 8, when x = 0, y = 8.

Front

What is the slope of the equation y = 3x - 4?

Back

The slope of the equation y = 3x - 4 is 3.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope of the line y = -2x + 1 is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Convert the equation y = -rac{2}{3}x + 3 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = -\frac{2}{3}x + 3.