Slope Intercept and Point Slope Forms

Front

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

Back

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 represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you convert from slope-intercept form to point-slope form?

Back

Start with y = mx + b, then use a point (x1, y1) on the line: y - y1 = m(x - x1).

Front

What is point-slope form of a linear equation?

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

The line is horizontal and does not rise or fall as x changes.

Front

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

Back

The line is vertical and does not change in x as y changes.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation when x = 0.

Front

Write the point-slope form of the line that passes through (2, 3) with a slope of 5.

Back

y - 3 = 5(x - 2).