Point Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

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

Back

To convert, solve for y: y = mx + b, where b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept of the line.

Front

If a line has a slope of 3 and passes through the point (2, 5), what is its equation in Point-Slope Form?

Back

y - 5 = 3(x - 2).

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.