Chapter 5
what formula is this y2-y1=m(x2-x2)
point slope form
given two point write on equation that goes through (1,-4) (3,2) whats the second step
use the slope and one point; pick the easier point
solve for point slope form slope=0; (3,-4)
y+4=0(x-3)
solve for point slope form slope= 5/2; (-3,0)
y-0=5/2(x+3)
solve for point slope form slope= 2; (1/2,1)
y-1=2(x+1/2)
the value of y varies directly with x. y=4.5 when x=0.5 find y when x=10
y=90
do these points form a direct variation (1,6) (3,18) (5,30)
yes each has the same value of k. do these points are part of a direct variation
solve to see if this is a direct variation -3x+5y=0
yes k=3/5x
is this a direct variation and if so name the constant variation. y=4x
yes k=4
what indicates that the pints would form a direct variation?
all the k are the same
what does this represent in direct variation? k
constant of variation
what is this formula? y=kx
direct variation
the value of y varies directly with x, and y=6 when x=12. find y when x=27? whats the first step you take
find k for the for the first point given k=y/x
given two point write on equation that goes through (1,-4) (3,2) whats the third step
find point slope form then slope intercept form
when graphing slope intercept form how do you decide to rise or fall when graphing the 2nd and 3rd point
if the slope is positive or negotive
what letter represents slope of the line
m
whats the first thing you do when graphing slope intercept form
marking a point at the y intercept
solve to see if this is a direct variation 2x+y=10
no it is not a direct varation
do these points form a direct variation (2,-2) (4,0) (8,4)
no these points arent direct variation
what formula is this? y=mx+b
slope intercept form
if an equation can be rewritten in the form y=kx, it is a direct variation equation
solve for y
the value of y varies directly with x, and y=6 when x=12. find y when x=27? whats the second step
use k, x from 2nd point given to solve for y y=kx
what formula would you use to see if a set of point would create a direct variation.
y/x=k
graphy for point slope form graph y-2=1/2(x-3)
.
graph y=-3x+2 whats the slope (1) whats the rise/fall over run (2) where do you put the first point (3)
1 -3 2 -3/1 fall/run 3 +2
given two point write on equation that goes through (1,-4) (3,2) whats the first step
find the slope by using slope formula
what is the second thing you do when graphing slope intercept form
follow the slope and mark a 2nd and 3rd point
what letter represents y intercepts
b