Linear Equations in one variable
Solve for x
6(2x-1)-4=8
3/2
How many solutions are there?
3x+5=3x+5
Infinitely many
Is (3,2) a solution to the equation 3x-2y=10?
No
5 does not equal 10
How do find the slope of a line?
Rise over run
height over length
y1-y2/x1-x2
What makes a line parallel to the equation y=2/3x-2
Having the same slope 2/3
Solve for p
4(p+3)=2p-9-p
p=-7
How many solutions?
5(3x+9)-2x=15x-2(x-5)
45=10
no solutions
Is the point (10,3) a point on the line
x-y=7
yes
What is the slop of (1,4) (-2,5)
-1/3
Write the equation of the line that has a slope of -1/2 and passes through (6,-2) in point slope form
y-(-2)=-1/2(x-6)
Solve for x
1/4x+12=x-6
x=24
How many solutions?
4x+12=3x+15
One solution
x=3
What type of line is x=5
vertical
What is the equation of the line that passes through (3,-1) with a slope of -2
y=-2x+5
Are the two equations on the same line.
-9x-6y=12
y=-3/2x-2
Yes because when you write it in slope intercept form they are both y=-3/2x-2
Write the equation that represents the equation.
The sum of three consecutive integers is 54. Let x represent the smallest integer.
x+(x+1)+(x+2)=54
Write the equation to to represent the situation. A party place charges a individual rate of $6.00 per guest and an additional a $4.00 fee for clean up.
y=6x+4
What type of line is y=-7
horizontal
Slope of the line that passes through (-5,4) and (2,-3)
-1
Write the equation of the line that passes through the points (0,-1) and (-4,7)
y=-2x-1
Write the decimal in fraction form
0.44444444
0.4 repeat
4/9
12t=9(t+0.25)
t=0.75
What determines the steepness of the line?
Slope
What is the slope and the y=intercept
y=3/4x-2
Slope is 3/4
y-intercept is -2
What does .25 represents in the equation y=.25x+2.5
the rate or slope