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Graphing from slope-intercept form y=mx+b
- Lesson: 1a1:33
- Lesson: 1b1:31
- Lesson: 1c1:08
- Lesson: 1d9:52
- Lesson: 1e1:43
Graphing from slope-intercept form y=mx+b
In this lesson, we will teach you how to graph functions using the slope-intercept form (y = mx + c). It is an equation of a straight line or we can call it a linear equation.
Basic concepts: Solving linear equations by graphing, Slope equation: m=x2−x1y2−y1, Slope intercept form: y = mx + b,
Related concepts: Introduction to linear equations, Graphing linear inequalities in two variables, Graphing systems of linear inequalities,
Lessons
- 1.Graph the following functions using y = mx +ba)y = -53x -4b)y = 54x +3c)y = 6xd)y + 4 = -32(x+2)e)x - 5y + 10 = 0
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3.
Linear Functions
3.1
Distance formula: d=(x2−x1)2+(y2−y1)2
3.2
Midpoint formula: M=(2x1+x2,2y1+y2)
3.3
Gradient equation: m=x2−x1y2−y1
3.4
Gradient intercept form: y = mx + b
3.5
General form: Ax + By + C = 0
3.6
Gradient-point form: y−y1=m(x−x1)
3.7
Rate of change
3.8
Graphing linear functions using table of values
3.9
Graphing linear functions using x- and y-intercepts
3.10
Graphing from slope-intercept form y=mx+b
3.11
Graphing linear functions using a single point and gradient
3.12
Word problems of graphing linear functions
3.13
Parallel and perpendicular lines in linear functions
3.14
Applications of linear relations