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 (x1, y1) is a point on the line and m is the slope.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

To convert, identify a point (x1, y1) on the line and the slope m, then use the point-slope formula: y - y1 = m(x - x1).

Front

Write the point-slope form for a line with slope 2 passing through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -1/4, what does this indicate about its steepness?

Back

A slope of -1/4 indicates a gentle downward slope.

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

Write the equation in point-slope form for the line that passes through (1, 2) with a slope of 3.

Back

y - 2 = 3(x - 1).