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 'm' represent in the point-slope form?

Back

In the point-slope form, 'm' represents the slope of the line.

Front

How do you identify the slope from the equation y + 1 = -3(x - 5)?

Back

The slope is -3, which is the coefficient of (x - 5) in the equation.

Front

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

Back

The line passes through the point (-4, 3).

Front

What does y1 represent in the point-slope form?

Back

y1 represents the Y value in the point (x1, y1).

Front

What does x1 represent in the point-slope form?

Back

x1 represents the X value in the point (x1, y1).

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

How can you convert the point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + (y1 - mx1).

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 describes.

Front

What is the slope of the line represented by the equation y - 4 = -1/2(x + 2)?

Back

The slope is -1/2.