The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear equation is expressed as [tex]g(x)=mx + b[/tex]
- m is the slope of the line
Using the coordinate points (3, 3.4), (4,2)
[tex]m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4[/tex]
Substitute m = -1.4 and the coordinate (4, 2) into the formula:
[tex]2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6[/tex]
Get the required equation:
[tex]g(x)=mx+b\\g(x)=-1.4x+7.6[/tex]
Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; https://brainly.com/question/9351428
