What is the slope if two points on a linear line are (5,0) and (10,2)?
(2-0)/(10-5) = 2/5
What is the slope-intercept form of a linear line with a slope of 3/4 and a y intercept of -5?
y = 3/4x - 5
The solution to a system of a equations is always written as a __________ ________.
Ordered pair: (x,y)
In order to factor an expression in the form Ax2 + Bx + C, in must find two factors with a product of ____ and a sum of _____.
Product of AC and sum of B
How can you tell if the slope is positive or negative on a linear line graph?
Positive slopes are increasing, from left to right.
Negative slopes are decreasing, from left to right.
2y = 8x + 4
4
What is the slope intercept form of a linear line with points (0,9) and (8, -3)?
y = -3/2 x + 9
In order to use the graphing method to solve the systems of equations, you have to...
(explain how to get your solution)
Graph both linear lines and see where the lines intersect. The point of intersection is the solution.
What are the factors of -21 that has a sum of 4?
7, -3
The Point (0,0) on a graph is called the _______.
The origin
What is the slope formula in terms of x and y?
(y2 - y1) / (x2 - x1)
What is the point slope form of a linear line with points (4,6) and (8,7)?
y - 6 = 1/4 (x - 4)
What are the three methods we've learned this year to solve a system of equations?
Graphing, elimination, and substitution
*DOUBLE JEOPARDY*
Factor the expression:
x2 + 9x + 8
(x+1)(x+8)
What is the slope and the y intercept of this graph?
y intercept: -5
slope: 3
What is the slope of a horizontal linear line?
0
Turn this equation from standard form to slope-intercept form:
6x + 2y = 20
y = -3x + 10
*DOUBLE JEOPARDY*
Using the elimination method, what is the solution for:
-2x + 4y = 8
6x - 4y = 0
4x = 8 so x=2 and y=3
Solution: (2,3)
Factor the expression:
c2 - 7c + 10
(c-2)(c-5)
Write an equation in slope-intercept form of this graph:
y = 2x + 1
What is the slope of a vertical linear line?
Undefined
If two points on a line are (5,5) and (7,7), write the slope-intercept form and the point-slope form of this linear line.
y = x
y - 5 = 1 (x - 5) OR y - 7 = 1 (x - 7)
Using substitution, solve this system of equations:
y = 3x
5x - 2y = 10
5x - 2(3x) = 10
5x - 6x = 10
-x = 10 so x = -10 and y = -30
Solution: (-10,-30)
Factor the expression:
2x2 + 8x - 10
2(x2 + 4x - 5)
2(x - 1)(x + 5)
Graph the line:
y = -1/2x + 4