Parts of equation
What is the slope from the equation?
y=-2x+5
-2
Solve for x:
-3x=21
-3x=21
-3x/-3=21/-3
x=-7
In the expression: 6x+9,
x is a...
variable
What is the equation in slope-intercept form:
A zebra has $20 and earns $6 every day.
y=6x+20
What is the y-intercept from the equation?
y=3/2x-8
(0,-8)
Solve for x:
5x-6=-21
5x-6=-21
+6=+6
5x=-15
5x/5=-15/5
x=-3
On a graph, the rise over the run is called the...
slope
What is the equation in slope intercept form?
x y
-1 12
0 15
1 18
2 21
y=3x+15
y=3x-4
y=3(5)-4
y=15-4
y=11
Solve for x:
5x-8=3x+6
5x-8=3x+6
-3x =-3x
2x-8=6
+8=+8
2x=14
2x/2=14/2
x=7
On a graph, the point where the line or parabola crosses the y-axis (and where x=0), is called the
y-intercept
What is the equation in slope-intercept form?
slope: 1 and y-intercept: -9
y=x-9
or
y=1x-9
Is the coordinate pair (-2,4) a solution to the equation?
y=7x+10
How do you know?
No.
4=7(-2)+10
4=-14+10
4=-4 is not true!
Solve for x:
2x+2x+5=33
2x+2x+5=33
4x+5=33
-5=-5
4x=28
4x/4=28/4
x=7
What is the slope-intercept form of a linear equation?
y=mx+b
Explain how to graph the equation: y=-2x+9
Start by plotting the y-intercept (0,9), and from there go down 2 and right one to plot more points. Connect the points with a line.
If y=20, what does x equal?
y=6x-10
20=6x-10
+10= +10
30=6x
30/6=6x/6
5=x
Solve for x:
2(x+9)=12
2(x+9)=12
2x+18=12
-18=-18
2x=-6
2x/2=-6/2
x=-3
What is a coordinate pair?
A point on the graph and looks like: (x,y)
Explain how to graph the equation: y=2/3x-8
Start by plotting the y-intercept at (0,-8), and from there go up 2 and right 3 to plot more points. Connect the points with a line.