Using Data to Determine the Slope & y-Intercept

T.i.P.S.

Students should understand that graphing a proportional relationship will always have a y-intercept through the origin (0, 0). Students should determine the slope from a proportional graph by finding the value of the y-coordinate when the x-coordinate is 1 and from a proportional table by finding the value of the output when the input is 1. Students should use either a table or graph to determine the slope of a line and the y-intercept of the line.

Example

The graph of a linear function is shown on the coordinate grid.

 Determine the slope and y-intercept.

Hint
Possible Solution

TEKS

Readiness Standard 8.4 Proportionality. The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope. The student is expected to:

(C) use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems 

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