
Standard to slope intercept form
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Rebecca Halliburton
Used 2+ times
FREE Resource
5 Slides • 22 Questions
1
Split up the linear function that is written in standard form.
Set the 'x term' equal to the 'C' integer.
Example: 2x + 5y = 4
Set the 'x term' equal to the 'C' integer.
2x = 4
NOW SOLVE FOR THE X INTERCEPT
x = 4/2 therefore x = 2
2
Split up the linear function that is written in standard form.
Set the 'y term' equal to the 'C' integer.
Example: 2x + 5y = 4
Set the 'y term' equal to the 'C' integer.
5y = 4
NOW SOLVE FOR THE Y INTERCEPT
y = 4/5
3
Drag and Drop
-5x+3y=-15
x-intercept:
4
Graphing
Use the x-intercept and the y-intercept to graph the line.
3x+4y=-12
5
Multiple Choice
2x-5y=35?
6
Multiple Choice
x+4y=7?
7
Multiple Choice
3x + 8y = 24
8
Multiple Choice
5x - 3y = 15
9
Multiple Choice
Give the x-intercept
3x + 8y = 24
x = 8
x = 0
x = 3
x = 24
10
Multiple Choice
Give the y-interecept
3x + y = 5
y = 0
y = 5
y = -3
y = -5
11
Multiple Choice
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
12
Multiple Choice
Give the y-interecept
3x + y = 5
y = 0
y = 5
y = -3
y = -5
13
Multiple Choice
What is the x- intercept of the line?
x = 1
x = 2
x = -1
x = -2
14
Multiple Choice
What is your first step in changing the standard form equation 4x+2y=12 to slope-intercept form?
subtract 12 from both sides of the equation
4x+2y −12 = 0
subtract 4x from both sides of the equation
2y=−4x +12
add 4x to both sides of the equation
2y = 4x+12
throw my computer across the room
15
Multiple Choice
Now that the equation is 2y = -4x+12 what is your second step?
Multiply everything by Pi
2πy=−4πx+12π
divide everything by -4
−2 1y = x−3
divide everything by 2
y=−2x+6
subtract 12 from both sides of the equation
2y−12=−4x
16
Multiple Choice
What is the y-intercept?
The point where the graph crosses the x-axis
please make this stop
The point where the graph crosses the y-axis
17
First, add or subtract the "x" term.
Second, divide by the coefficient (number in front of) y.
Finally, simplify if you can.
18
19
20
Multiple Choice
From the equation: y = -2x +6 what is the slope of the line?
y
6
x
-2
21
Multiple Choice
Solve this standard form equation so that it is in slope intercept form 6x+12y = 48
48= 6x+12y
y =21x −4
y = −2x+4
y = −21x+4
22
Multiple Choice
Solve this equation in standard form so that it is in slope intercept form 4x-2y = 20
y=2x−10
y= 2x+10
y = −2x −10
y = −2x+10
23
Multiple Choice
Write x + 5y = 10 in slope intercept form.
y=−5x + 2
y = −51x + 5
y = 5x + 2
y = −51x + 2
24
Multiple Choice
The equation is now solved for y.
y = 1/2x - 5
Which is the graph of this equation?
25
Multiple Choice
26
Multiple Choice
27
Multiple Choice
Solve this equation for y:
10x −5y=30
y = 2x - 6
y = -2x + 6
y = -10x + 30
y = 10x - 30
Split up the linear function that is written in standard form.
Set the 'x term' equal to the 'C' integer.
Example: 2x + 5y = 4
Set the 'x term' equal to the 'C' integer.
2x = 4
NOW SOLVE FOR THE X INTERCEPT
x = 4/2 therefore x = 2
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