Question

If f(x) is a linear function, f(-2)=4. and f(3)=-3, find an equation for f(x).

Answer 1

f(x)= -7/5 x + 6/5

Explanation:

We know that, y = mx+ c; where c is the y-intercept.

Given, f(-2) = 4 and f(3) = -3

So, the slope will be, (-3-4)/ (3-(-2)) = -7/5

Now, find the value of c:

c = y - mx

= 4 - (-7/5) X -2

= 6/5

So the linear equation will be,

y= -7/5 x + 6/5

f(x)= -7/5 x + 6/5