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 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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Convert the Point-Slope Form y - 3 = 2(x + 4) to Slope-Intercept Form.

Back

The Slope-Intercept Form is y = 2x + 11.

Front

If a line has a slope of -3/2, what does this indicate about its steepness and direction?

Back

A slope of -3/2 indicates the line is steep and descends from left to right.

Front

What is the slope of the line represented by the equation y = 5/4x + 2?

Back

The slope of the line is 5/4.

Front

How do you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

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

Write the equation of a line with a slope of 4 that passes through the point (3, 2).

Back

The equation is y - 2 = 4(x - 3) or y = 4x - 10.