Linear Equations from Two Points

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

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

Back

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 if you know the slope (m) and a point (x, y)?

Back

Use the formula b = y - mx.

Front

What does the slope (m) of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The line is horizontal.

Front

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

Back

The line is vertical.

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 4?

Back

y = 4x - 5.

Front

How do you write the equation of a line in slope-intercept form if you know two points?

Back

First, find the slope using m = (y2 - y1) / (x2 - x1), then use one point to find b.

Front

What is the y-intercept of the line y = 3x + 2?

Back

The y-intercept is 2.

Front

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

Back

The slope is -2.