Point Slope Form

Front

What is Point-Slope Form?

Back

Point-Slope Form is a way to write the equation of a line when you know a point on the line and the slope. It is expressed as: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

What point does the line y - 3 = 2(x + 4) contain?

Back

The line contains the point (-4, 3).

Front

How do you write the equation of a line in Point-Slope form given a point and slope?

Back

To write the equation, use the formula y - y1 = m(x - x1), substituting (x1, y1) with the given point and m with the slope.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Front

What point does the line y + 1 = -3(x - 5) contain?

Back

The line contains the point (5, -1).

Front

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3.

Back

The equation is y - 5 = -3(x - 10).

Front

What is the slope of the line that contains the points (-2, -3) and (4, 3)?

Back

The slope is 1.