Writing Linear Equations from two points

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

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of 3 and a y-intercept of 4, what is the equation of the line?

Back

The equation is y = 3x + 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the relationship between the slope of a line and its steepness?

Back

The greater the absolute value of the slope, the steeper the line.

Front

What is the formula to convert a point-slope form to slope-intercept form?

Back

The point-slope form is y - y1 = m(x - x1). You can rearrange it to y = mx + (y1 - mx1).

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it, then use the slope to find another point.