Writing Linear Equations (Slope-Intercept & Point-Slope)

Front

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

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

Front

How do you convert an equation from standard form to slope-intercept form?

Back

Front

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

Back

Front

How do you write the equation of a line given a slope and a point?

Back

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

How do you find the equation of a line given two points?

Back

First, calculate the slope using the two points, then use one of the points in the point-slope form to find the equation.