Direct Variation, Equations 3 ways and Types of Lines

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

How do you convert the equation 6x + 5y = -15 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 5y = -6x - 15, then y = -6/5x - 3.

Front

What is the standard form of a linear equation?

Back

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

Front

How do you write the equation of a line in standard form given a point and slope?

Back

Use the point-slope form y - y1 = m(x - x1) and rearrange to standard form.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals of each other.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

Does the equation y = 7x + 3 represent direct variation?

Back

No, it does not represent direct variation because of the constant term +3.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y = -1/4x - 6?

Back

The y-intercept is -6, which is the value of y when x = 0.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.