Lesson 4.1: Slope intercept form
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
+4
Standards-aligned
Ricardo Salgado
Used 13+ times
FREE Resource
10 Slides • 14 Questions
1
Slope-Intercept Form:
y=mx+b
Understanding and applying the slope-intercept form of a linear equation, y = mx + b, is essential in algebra. This form allows us to easily identify the slope and y-intercept of a line, making it a powerful tool in graphing and solving equations.
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Multiple Choice
Which of the following functions is written in slope-intercept form?
y = mx + b
y=ax2+bx+c
y = bx - m
Ax + By = C
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Dropdown
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Find the slope and the y intercept of the following:
1. y=-2/3 x + 4
2. y = 3x - 5
3. y = x + 2
b=
m=
b=
m=
b=
m=
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Dropdown
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Dropdown
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Graphing Linear Equations with y = mx + b
Use y = mx + b, where m is the slope and b is the y-intercept.
Step #1: Plot the y-intercept on the graph with the value of b.
Step #2 Use the slope (the value of m) to find additional points.
Step #3 Connect the points to create a straight line.
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If the equation is in slope intercept form graph your y interecept coordinate, then Rise and Run from that point according to slope.
y = x - 2
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Examples:
1. y= -x - 3
2. y= -1/3 x + 2
3. y = 2/3 x
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Graphing
y=−21x+6
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Graphing
y=2x−5
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Graphing
y=x+4
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Graphing
y=−43x−6
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Graphing
y=65x−4
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Graphing
y=−x
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Not all equations are ready to graph.
You may have to rewrite the equation in slope intercept form to easily graph with the m and the b. Example:
1. y - 1 = 3x
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Graphing
y−3=x−9
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Not all equations are ready to graph.
You may have to rewrite the equation in slope intercept form to easily graph with the m and the b. Examples:
2. 3y = x - 6
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Graphing
3y=x−9
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Graphing
2y=5x+4
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Not all equations are ready to graph.
You may have to rewrite the equation in slope intercept form to easily graph with the m and the b. Example:
3. -2y + 8 = 3x
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Graphing
4y+6=12x−2
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End of section.
Slope-Intercept Form:
y=mx+b
Understanding and applying the slope-intercept form of a linear equation, y = mx + b, is essential in algebra. This form allows us to easily identify the slope and y-intercept of a line, making it a powerful tool in graphing and solving equations.
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