JamisynD754966 JamisynD754966
  • 03-11-2022
  • Mathematics
contestada

Write the SLOPE INTERCEPT form equation given the following information 6. 9) through: (5.4). slope 5

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OttoR743000 OttoR743000
  • 03-11-2022

y=5x +21

1) Since the line passes from (6,9) through (5,4) and has a slope of 5.

the slope-intercept form is given by y=mx +b

[tex]\begin{gathered} m=\frac{y_2-y_1_{}}{x_2-x_1} \\ m=\frac{4-9}{5-6} \\ m=\frac{-5}{-1} \\ m=5 \end{gathered}[/tex]

Since the slope is 5, we can write:

y=5x +b

Pluggin in (5,4)

4=5(5)+b

4=25+b

4-25=25-25+b

21=b

b= 21

3) Finally, the slope-intercept form of this linear equation is y=5x +21

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