Writing Equations from Ordered Pairs

Front

What does the letter 'm' represent in the equation of a line?

Back

The letter 'm' represents the slope of the line.

Front

How can you determine if the slope of a line is positive or negative?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

Given the points (2, 15) and (4, 21), how do you find the slope?

Back

Use the formula m = (y2 - y1) / (x2 - x1) to calculate the slope.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept (b) of a line given a point and the slope?

Back

You can find the y-intercept by rearranging the equation y = mx + b to solve for b: b = y - mx.

Front

What is the equation of the line that passes through the point (2, 8) with a slope of 4?

Back

The equation is y = 4x.

Front

How do you write the equation of a line given two ordered pairs?

Back

First, calculate the slope using the two points, then use one of the points to find the y-intercept and write the equation in slope-intercept form.