Answer
a) $f(x)=-2x+6$
b) see graph
Work Step by Step
We are given the linear function:
$f(1)=4$
$f(0)=6$
a) Determine the slope of the line using the points $(0,6),(1,4)$:
$m=\dfrac{4-6}{1-0}=-2$
Determine the line's equation using the slope and one of the points:
$y-6=-2(x-0)$
$y=-2x+6$
$f(x)=-2x+6$
b) Graph the function using the two points:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/bae2ab7f-310a-48f4-8861-f9be3bc5038f/steps_image/small_1586722507.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000127Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=b7f89577f422c0647dbca481d3c1bf0db657de07b878ffac1cbabe1f779a04c3)