EOC Review Flashcard (19/20)

Front

What is the slope of a line perpendicular to the line represented by the equation y = 2x + 3?

Back

The slope of a line perpendicular to y = 2x + 3 is -\frac{1}{2}.

Front

How do you find the y-intercept of a linear function?

Back

To find the y-intercept of a linear function, set x = 0 in the equation and solve for y.

Front

What is the recursive formula for the sequence 2, -8, 32, -128, ...?

Back

The recursive formula is x_n = -4x_{n-1}.

Front

What type of solutions does the quadratic function y = x^2 + 7x + 12 have?

Back

The quadratic function has two negative solutions.

Front

How do you determine the x-coordinate of the vertex of a quadratic function in the form h(t) = at^2 + bt?

Back

The x-coordinate of the vertex is given by the formula x = -\frac{b}{2a}.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0.

Front

What is the significance of the y-intercept in a linear function?

Back

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

Front

How do you convert the slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate Ax and By on one side.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.