writing equations in slope intercept form

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

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

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 is the y-intercept of the line y = 3x + 5?

Back

The y-intercept is 5.

Front

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

Back

The slope-intercept form is y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

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 -3 in slope-intercept form.

Back

The equation is y = 2x - 3.