Slope-Intercept Form, Point-Slope Form, Standard 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 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form, solve for y to get y = mx + (y1 - mx1).

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 is the standard form of a linear equation?

Back

The standard form is given by Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you write an equation in slope-intercept form given a slope and a point?

Back

Use the formula y - y1 = m(x - x1) to find the equation, then rearrange it to y = mx + b.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept form.