Linear Slopes
Find the slope between the given points
(-3,1) (2,-2)
-3/5
Write the next three terms of the arithmetic sequence
19, 22, 25, 28, ...
31, 34, 37
Solve the systems via subsitution
x=17-4y
y=x-2
(5,3)
Graph x<2
Vertical dotted line at x=2, shaded to the left
-sqrt4(16)
-2
Write an equation in point-slope form of the line that passes through the point (7,-4) and has a slope of -6
y+4=-6(x-7)
Find the next 3 terms
8, 13, 18, 23, ...
28, 33, 38
Solve the system via elimination
-3x-5y=-7
-4x+5y=14
(-1,2)
Graph -4x+y<-7
m=4, b=-7
Dotted line shaded to the left
Evaluate
729^(1/2)
27
Find the slope between the following points
(1,4) (-3,-4)
m=2
Find a_n
2, 7, 12, 17, 22, ...
a_n =2+5(n − 1)
Solve the system of equations via elimination
x+y=2
2x+7y=9
(1,1)
Graph and circle the solution
y>-5
y-1<3x
Solid horizontal line at y=-5
Dotted line, m=3, b=1
Solution (0,-4)
Simplify
x^-2*x^4
x^2
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9
y=2x+5/7
Find a_n
45, 39, 33, 27, 21, ...
a_n= 45−6(n − 1)
Solve the system
y=-6x-2
y=-6x-8
No solution
(Parallel with different y-intercepts)
Graph and circle the solution
2x+y>5
y+2<-2x
No solution
Your starting annual salary of $42,500 increases by 3% each year. Write a function that represents your salary y (in dollars) after x years.
425000(1.03)^x
Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
y=2x-3/2
Write an equation for the nth term of the arithmetic seqeuence. Then find a_10
-5, -4, -3, -2, ...
a_10=4
Solve the system
3x-y=6
-3x+y=-6
All real numbers
(Parallel with the same y-intercepts)
Graph and circle the solution
y+1>3x
y-3x>1
Infinitely many solutions
You deposit $500 in an account that earns 6.5% annual interest compounded semi-annually. Write a function that represents the balance y (in dollars) after x years.
500(1+.065/2)^2x