Point Slope Form

Front

What is Point-Slope Form?

Back

Point-Slope Form is a way to express the equation of a line using a point on the line and its slope. The formula is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y1 = m(x - x1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

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

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0. It is the point where the line crosses the y-axis.

Front

Write the Point-Slope Form of a line with slope 2 passing through the point (3, 4).

Back

y - 4 = 2(x - 3)