Slope-Intercept Form (y = mx + b) Equations

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 slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, corresponding to the value of y when x = 0.

Front

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

Back

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

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

The slope-intercept form is y = -rac{2}{3}x + 2.

Front

What is the slope of the line represented by the equation y = 5x - 4?

Back

The slope of the line is 5.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The y-intercept of the line is 3.

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

Write the equation of a line with a slope of 2 and a y-intercept of -1 in slope-intercept form.

Back

The equation is y = 2x - 1.