Graphing Linear Equations
(x and y intercepts)
(x and y intercepts)
Graph the equation
x + 5y = 4
x intercept = 5
y intercept = 4/5
Find the root of the equation
0 = 2x + 8
-4
Find the slope of the line that passes through the pair of points (0,5) (6,2)
- 1/2
Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.
If y = 15 when x = 2, find y when x = 8
y = 7.5x
y = 60
Graph f(x) = 2x
Is this proportional or nonproportional?
x-intercept: 0
y-intercept: 0
Proportional
Graph the equation
5x + 2y = 10
x-intercept - 2
y-intercept - 5
Find the root of the equation
3x - 5 = 0
5/3
Find the slope of the line that passes through the pair of points (-6,4) (-6, -2)
Undefined
Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.
If y = -6 when x = 9, find x when y = -3
y = -⅔x
x = 4.5
Graph f(x) = 4x
Is this proportional or nonproportional?
x-intercept: 0
y-intercept: 0
Proportional
Graph the equation:
3x - y = 4
x-intercept: 4/3
y-intercept: -4
Find the root of the equation
0 = 4x-24
6
Find the slope of a line that passes through the pair of points (5, 9) (7, 9)
zero
Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.
If y = 4 when x = -4, find y when x =7
y = -x
y = -7
Graph f(x) = 2x + 5
Is this proportional or nonproportional?
x-intercept: -5/2
y-intercept: 5
Non-proportional
What is the x and y intercept for the equation
-4x - 28 = 0
x-intercept: -7
y-intercept: -28
Find the root of the equation
6x + 3 = 0
1/2
Find the value of r so the line that passes through the pair of points has the given points.
(-2, 8) (r, 4) m = - ½
r = 6
Suppose you earn $127 for working 20 Hours. Write a direct variation equation relating your earnings to the number of hours you worked. How much would you earn for working 35 hours?
y = 6.35x
$222.25
Graph f(x) = -x + 2
Is this proportional or nonproportional?
x-intercept: 1/2
y-intercept: 2
Non-proportional
What is the x and y intercept for the equation
0 = 16 - 8x
x-intercept: 2
y-intercept: 16
Find the root of the equation
0 = 21 + 3x
-7
Find the value of r so the line that passes through the pair of points has the given points.
(12, 10) (-2, r), m = -4
r = 66
Suppose a company charges $50 a month to maintain a website. Write a direct variation equation to find the total cost of having a web page for x months. How many months would you be able to have the company maintain your website for $550?
y=50x
11 Months
Graph f(x) = x + 1
Is this proportional or nonproportional?
x-intercept: -1
y-intercept: 1
Nonproportional