You can
put this solution on YOUR website!y= -x+4
The best way to write a table of values. There are not really any "missing coordinates". This equation requires that you plug-in certain values for x and solve for y; or plug-in certain values for y and solve for x.
Table of Values:
When x=3, y=-(3)+4 or y=1
When x=-3, y=-(-3)+4 or y=7
When x=0, y= -(0)+4 or y=4
When x=-1, y= -(-1)+4 or y=5
So, the value of y will depend on the x that is plugged into the equation.
Graph of y=-x+4
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I have to graph each equation and plot at least 5 points for each one:
x+4y=5 [Re-write it in the slope-intercept form (y=mx+b) by solving for the y-value]
X+4y=5
x-x+4y=-x+5
4y=-x+5
4y/4=-x/4+5/4
y= (-1/4)x+5/4 [Graph this line]
Plot these points:(-3,2) (-1, 1.5)(0, 1.25)(3, .5)(5,0)(9, -1)
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The equation for the cans and price of cans
d=600-40p
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a) Will Helen sell more or less Muscle Punch if she raises her prices from $5?
Let p=$5
d=600-40(5)
d=400 cans will be sold at $5.00
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Let p =$6
d=600-40(6)
d=360 cans will be sold at $6.00
So, increasing the price will cause less people to buy less cans.
b) What happens to her sales every time she raises her price by $1?
When the price is raised by $1.00 (from $5 to $6), the number of cans sold decreases by 40 cans.
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The line through ( -2,5) with slope of -1
Use the y=mx+b form of a line:
5=(-1)(-2)+b [Plug-in the values and solve for b]
5=2+b
5-2=b
3=b [Plug the slope and the y-intercept (b) back into the equation.
Y=-1x+3
Find the slope and y-intercept for each line that has a slope and y-intercept.
x+2y=3 [Re-write in the slope-intercept form (solve for y)
x-x+2y=-x+3
2y=-x+3
Y=(-1/2)x+3/2
The slope = (-1/2)
The y-intercept = (0, 3/2)
