NC Math 1 EOC Review

Front

What is the equation of a line parallel to 6y = 8x - 11?

Back

Any line with the same slope as the original line. The slope of 6y = 8x - 11 is 4/3, so a parallel line could be represented as 9y = 12x + 5.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and thus every point on the line is a solution.

Front

How do you find the x-coordinate in a system of equations?

Back

You can solve one of the equations for x and substitute it into the other equation.

Front

What is the midpoint of a line segment with endpoints A(3, 2) and B(5, 4)?

Back

The midpoint K is calculated as K = ((x1 + x2)/2, (y1 + y2)/2) = ((3 + 5)/2, (2 + 4)/2) = (4, 3).

Front

What is the equation of a line perpendicular to another line?

Back

The slope of the perpendicular line is the negative reciprocal of the original line's slope.

Front

What is a parallelogram?

Back

A quadrilateral with opposite sides that are both equal in length and parallel.

Front

How do you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if it has four right angles.

Front

What is the slope-intercept form of a line?

Back

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

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 finding the slope between two points (x1, y1) and (x2, y2)?

Back

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