Slope Intercept & Point Slope Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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 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 from slope-intercept form to point-slope form?

Back

To convert, identify the slope (m) and a point (x1, y1) from the slope-intercept form and use the point-slope formula.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

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 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 used to define the line's equation in point-slope form.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

Using point-slope form: y - 3 = 2(x - 1).