160 likes | 293 Views
Chapter # 1. Section 4. Graphing Data. Learning Objectives. Graph the relationship between independent and dependent variables Interpret graphs (mode, coordinates, and slope) Draw graph between Mass & Length with provided data. Learning Outcomes.
E N D
Chapter # 1 Section 4 Graphing Data
Learning Objectives • Graph the relationship between independent and dependent variables • Interpret graphs (mode, coordinates, and slope) • Draw graph between Mass & Length with provided data.
Learning Outcomes • Students can understand about Graph with variables. • To understand about slop and y-intercept in Graph.
Section Graphing Data 1.4 • Scatter plots of data may take many different shapes, suggesting different relationships. • Linear Relationships • Non-Linear Relationships
Graph between Mass & Length Graphing Data
Section Linear Relationships 1.4 • When the line of best fit is a straight line, as in the figure, the dependent variable varies linearly with the independent variable. This relationship between the two variables is called a linear relationship. • The relationship can be written as an equation.
Section Slop m 1.4 • The slope is the ratio of the vertical change to the horizontal change. • change in y divided by the change in x. B.
How to find Slop • To find the slope, select two points, A and B, far apart on the line. • The vertical change, or rise, Δy, is the difference between the vertical values of A and B. • The horizontal change, or run, Δx, is the difference between the horizontal values of A and
How to find Slop • the slope of a line is equal to the rise divided by the run, which also can be expressed as the
Section 1.4 When Slop value is Negative • If y gets smaller as x gets larger, then Δy/Δx is negative, and the line slopes downward. • Example:
Y –Intercept b • The y-intercept, b, is the point at which the line crosses the y-axis, and it is the y-value when the value of x is zero.
Draw a graph to show how distance, that a car travels, changes with time