Line
Find the x-int and y-int of the following line:
2x-y = 4
y-int: (0,-4)
Determine number of solutions of:
y = -x-1
y = -x+5
No solution
Draw an example of :
Negative Slope
Write a system of linear equations with infinite solutions
Find the slope of the line passing through:
(4,-14) and (4,-20)
Both points have same x-coordinate, so this is a vertical line. The slope is undefined.
Solve for n:
3n+4 = -2n-6
5n+4 = -6
5n = -10
n = -2
Graph the following inverval on number line:
[ -2, 8)
Solve for a:
3/(2a-5) = -2/(a+1)
3(a+1) = -2(2a-5)
3a+3 = -4a+10
7a = 7
a = 1
What is the slope of a line perpendicular to the line
y = -4x+1
1/4
Solve by substitution:
3x+y = 7
x+2y = 9
(1) gives (3) y = 7-3x
Plug (3) in (2) gives (4) x+2(7-3x) = 9
Solve (4) gives x = 1
Plug (4) in (3) gives y = 4
Draw an example of a system of linear equations with No Solution
Solve the equation for y:
3x - 2y + 4z = 6
3x+4z-6=2y
1.5x+2z-3=y
Write the point-slope form of the line:
Go through (-2,7) and (4,1)
y-1 = - (x-4)
Solve by elimination:
2x+4y=6
3x+3y=3
Multiply (1) by 3 and (3) by 2 to get:
(3) 6x+12y=18, (4) 6x+6y=6
(3)-(4) gives 6y = 12, so y=2
Plug in (1) Get 2x+8=6, so x =-1
Graph:
y=-3x+5
Solve the inequality
2x+3 < -3(x-1)+7
2x+3 < -3x+3+7
5x+3 <10
5x < 7
x < 7/5