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

How do you identify the slope from the Point-Slope Form equation?

Back

In the equation y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Convert the equation y - 3 = 2(x + 4) to slope-intercept form.

Back

y = 2x + 11.

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 descends steeply from left to right.

Front

Write the Point-Slope Form of a line with slope 1 passing through the point (2, 3).

Back

y - 3 = 1(x - 2).

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

How can you determine if a point lies on the line represented by a Point-Slope equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

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

Back

The slope is -3.

Front

Write the Point-Slope Form of a line that passes through (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4).