Linear Equations
What is the equation of a line in standard form?
Ax + By = C
What does it mean to be the solution to a system of linear equations?
The solution is the point(s) of intersection of the lines.
What is the standard form of a quadratic equation?
What is the equation of a line in slope-intercept form?
y = mx + b
Name the three methods used to solve systems of linear equations?
Elimination, Substitution, Graphing
What is the quadratic formula?
x= (-b+-sqrt(b^2-4ac))/(2a)
What is the equation of a line in point-slope form?
y - y1 = m(x - x1)
Name the 3 possible number of solutions for a system of two linear equations.
None, one, infinite
What is the name of the line created by a quadratic equation?
Parabola
What is the equation of a vertical line that passes through (2, -5)?
x = 2
What is the solution the following system:
y = 2x - 9
y= -1/2x + 4
(5.2, 1.4)
What is the y - intercept of the parabola represented by the following equation? give answer as a coordinate point
y = 2(x-3.5)2 - 6
(0, 18.5)
What is the equation of a horizontal line that passes through (-53, 9)?
y = 9
What is the solution to the following system of linear equations?
3x + 2y = 2
-5x - 1/2y = 8
(-2, 4)
Convert the following quadratic equation into vertex form.
y = 3x2 + 2x - 6
y = (x + 1/3)^2- 6 1/3