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 y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from a point-slope equation?

Back

In the point-slope form y - y1 = m(x - x1), the slope is represented by the variable m.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

How can you convert a point-slope equation 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 is the significance of the point (x1, y1) in the point-slope form?

Back

The point (x1, y1) is a specific point on the line that the equation represents.

Front

Given the slope m and a point (x1, y1), how do you write the point-slope form?

Back

Substitute the values of m, x1, and y1 into the formula y - y1 = m(x - x1).

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

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.

Front

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

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the point-slope form of the line that passes through (4, -7) with a slope of -1/4?

Back

The point-slope form is y + 7 = -1/4(x - 4).