Solving System of Equations by Substitution
Solve for x & y
x + 7y = 0
2x − 8y = 22
x = 7
y = -1
2/3 divided by 1/3
2
Two non-vertical lines are perpendicular if their slopes are _____ ______ of each other.
negative reciprocals
Give the equation of a line in slope-intercept form with m = 2/3 and b = 1
y=(2/3)x + 1
What is the formula for finding the slope when you are given two points?
m = (y2 - y1)/(x2 - x1)
Solve for x & y
4x + 2y = 10
x − y = 13
x = 6
y = -7
Solve
2/5 divided by 2/3
3/5
Find the line that passes through: (4, -1), and is parallel to y = (- 3/4) x
y = (- 3/4) x + 2
Give the equation of a line in slope-intercept form passing through: (5, −1) and (2, 3)
y = − (4/3) x + (17/3)
Give the formula for point-slope form.
(y - y1) = m(x - x1)
Solve for x & y
y = 4x − 9
y = x − 3
x = 2
y = -1
3/8 + 2/5
31/40
Find the line that passes through: (-3, -3), and is perpendicular to y = (- 3/8) x - 2
y = (8/3) x + 5
Write the equation of a line that passes through the point (-4, -3) with undefined slope.
x = -4
Give the formula for slope-intercept form.
y = mx + b
The difference of two numbers is 3. Their sum is 13. Find the numbers.
x = 8
y = 5
36/13 - 8
-68/13
Find the line that passes through: (0, -4), and is perpendicular to
y = (- 3 /2) x + 1
y = (2/3) x - 4
Write the equation of a line that passes through the point (-5, 2) with slope m=0.
y = 2
The expression
|ax + b| < c
can be expressed without absolute value as the inequality _______
-c < ax + b < c
The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters?
L = 3W
2L + 2W = 86
Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizzas should Mary order?
5 pizzas
Line L is perpendicular to the graph of the equation -3x - 5y = 2 and contains the point (2, - 6). Find the equation for L.
y=(5/3)x - (28/3)
Find the equation of the line that passes through
(3, 13/4) & (-1, 3/4)
y=(1/2)x + (5/4)
State the Absolute Value Rule
Any equation of the form |a|= b is equivalent to the equations a=b OR a=-b when b>0.