Point - Slope Form

Front

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

Back

Front

How do you identify the slope from the point-slope form equation?

Back

Front

What does the slope represent in a linear equation?

Back

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

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units, meaning the line descends from left to right.

Front

Back

Front

Back

The slope of the line is -1/3.

Front

Given the point (1, -5) and slope 3, write the equation in point-slope form.

Back

Front

Back

The point (5, -1) is a point on the line represented by the equation.

Front

How do you find a point on a line given the slope and a point?

Back

Use the point-slope form to write the equation and then substitute any x-value to find the corresponding y-value.

Front

Back

The slope of the line is 2.