Graphing Linear Equations
Mind Map

Tips and Tricks

Errors

Examples

Vocabulary

Tips 2: The y always comes second.

Tips 3:There are approximately 4 sides to a graph.

Tips 1: The x always comes first.

Variable:''A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.''

Center:''Geometry. the middle point, as the point within a circle or sphere equally distant from all points of the circumference or surface, or the point within a regular polygon equally distant from the vertices.''

Graph:''a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.''

image

image

image

One main error that people have when doing is that they don't know where to locate the Dot on the graph when doing equations in mx+c form.

People don't know where a certain location is on the graph.

People sometimes confused the y for the x and so they put the y first and the x last.

Linear:''An equation that makes a straight line when it is graphed. Often written in the form y = mx+b. Equation of a Straight Line.''

Origin: The point in the middle of a graph.

image

Tip 4:You can use desmos as a tool to solve problems or just to double check your work.

Proportional relationships: Straight lines that go threw the origin.

Slope/Gradient:
''In mathematics and applied science, slope is called the inclination of a linear, natural or constructive element with respect to the horizontal.''

image

An errors that people make often is that people don't always know the equation to a negative slope or don't know which location the line is pointing a negative slope.

Tip 5: You should always know that when the line ends in quadrant 2 it is negative slope, and when it the line ends in quadrant 1 it is a positive slope.

image

Tip 6: When finding the slope of a line with two different coordinates it doesn't matter which number you in the Y section and even in the X part of the equation.

Tip 7: The slop for the Horizontal line will be 0 and for the Vertical line it will be undefined.

Tip 8: ''Parallel lines have the same flow.''

Tip 9: When the line is horizontal the slope is always going to be 0 and when it is a vertical line the slope will always be undefined.

image

image