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 convert Point-Slope Form 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 does the slope (m) represent in a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y + 5 = -3(x - 6)?

Back

The slope of the line is -3.

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

What is the y-intercept in the equation y = -3x + 13?

Back

The y-intercept is 13, which is the point where the line crosses the y-axis.

Front

How do you find the coordinates of a point from the Point-Slope Form equation y - 4 = -1/3(x - 7)?

Back

The coordinates of the point are (7, 4), which is derived from the equation.

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.

Front

What is the equation of a line in Point-Slope Form that passes through (-2, -1) with a slope of -3?

Back

The equation is y + 1 = -3(x + 2).

Front

How can you identify the slope from the equation y - 3 = 2(x + 4)?

Back

The slope is 2, which is the coefficient of (x + 4) in the equation.