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

Back

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

Front

What is the slope of the line represented by the equation y - 5 = -3(x - 10)?

Back

The slope of the line is -3.

Front

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

Back

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

Front

What type of slope does the equation y = 5 represent?

Back

The equation y = 5 represents a zero slope (horizontal line).

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 type of slope does a line with a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

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 determine if a slope is positive or negative from an equation?

Back

If the coefficient of x in the equation is positive, the slope is positive; if negative, the slope is negative.

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 helps define the line's position.