Question

Find the linear function with f(1) = 4 and slope 6.

Answer 1

Answer: $f(x) = 6x -2$

Step-by-step explanation:

We know that a linear function represents the equation of a straight line on Cartesian plane. From point-slope form of equation of line, we get

$y(x)=mx+c$ .....(1)

where y: y-coordinate of a point on the line as a function of x-coordinate

,m: slope of the straight line and c: y-intercept of the line

When it has been given that f(1)=4 and m=6,

⇒$y(1)= 6(1)+c$

⇒$6+c=4$ (∵ f(1)≡y(1))

⇒$c=-2$

Substituting values of m and c in equation (1), we get

$f(x)=6x-2$