Graphing from slope-intercept form y=mx+b

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=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}, 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 +b
    a)
    y = -35 {3\over5} x -4

    b)
    y = 45 {4\over5} x +3

    c)
    y = 6x

    d)
    y + 4 = -23 {2 \over 3} (x+2)

    e)
    x - 5y + 10 = 0

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3.
Linear Functions
3.1
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
3.2
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
3.3
Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
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)y - y_1 = m (x - x_1)
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
A-Level Maths