What is the graph of a line through (2, -4) and (-5, 9)?
Point in Quad II and Quad IV with neg slope.
100
Slope-Intercept Form
What is y=mx+b
100
the definition of slope
What is rise over run
100
the definition of "symbolic representation" and 2 ways it can be written.
What is an equation, and 1. y=mx+b (slope inter) 2. y-y1=m(x-x1) [point slope]
100
from a graph what two things do you need to know to build slope-intercept form?
What is m and b.
200
The graph of the line with m=2 through the point (-3, -5)? (give at least three points)
What is a point in Quad III, going up 2, right 1
200
The definition of "Linear" on a graph (Stand-up and include movement).
What is when graphed its picture is a straight line.
200
the description of how you find slope on a graph.
What is counting from one point how much you go up (or down) and right to another point.
200
the slope of a horizontal line
What is zero
200
what three things do you substitute when building point-slope equation? (show with an example of your own).
What is y1, m, and x1
300
f(x)= 1/2 x + 3 (give three points)
What is begin on the Y-axis at 3 and move up 1, right 2.
300
The table's rate of change is constant, meaning it's x and y values increase or decrease by _________ or __________?
What is adding or subtracting
300
the slope between these two points (-3,1) and (3, -2)? (show your work).
What is -1/2. y-y/x-x
300
the slope of a vertical line
What is undefined
300
the equation in slope-intercept form with m=1/2 and a point (-4, -3). Show your work of how to solve for "b".
What is y=1/2x -1
400
g(x) = 4x
What is y-int at 0, and slope up 4 right 1
400
What is the equation of a line in point-slope form with m=3 and a point (-2, -4)?
What is y+4=3(x+2).
400
the slope of the equation f(x) = 4-2x. How do you know?
What is -2, because it's next to the x
400
x h(x)....the pattern is linear or nonlinear? why?
(-2,5), (-1,10), (0,20), (1,40), (2,80)
What is nonlinear because the h(x) increases by multiplying, not adding. It does not increase at a "constant rate".
400
the equation converted from y-3=2(x+1) to slope-intercept form.
What is y = 2x + 5
500
k(x) = 7
What is a horizontal line at y=7
500
What is the slope-intercept form of the line with two points (-2, -4) AND (1, 5)? (show your work)
What is y=3x+2
500
Which slope is steeper? m=2 or the slope between (1,-3) and (3,5)?
What is m=4 is steeper
500
the slope-intercept form of the situation: The “Just Sunk” boat repair shop charges a $150 flat fee to get a boat into its shop and $200 per hour to work on repairs.
What is y=200x+150
500
the equation of a line through the 2 points (-2, 2) and (1, -7). [show your work]