Point slope form

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert a linear equation from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form (y - y1 = m(x - x1)), identify a point (x1, y1) on the line and use the slope m.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive slope = rising, negative slope = falling).

Front

Given the point (3, 4) and slope 2, write the equation in point-slope form.

Back

y - 4 = 2(x - 3)