Question

Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)

Answer 1

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as $g(x)=mx + b$

• m is the slope of the line

• b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

$m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4$

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

$2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6$

Get the required equation:

$g(x)=mx+b\\g(x)=-1.4x+7.6$

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428