find a linear function of h given h 928 and h 424 then find

find a linear function of h, given h (9)=-28 and h (-4)=24. then find h (3)

Solution

Since it\'s a linear function:

two points will be (9, -28) and (-4, 24)

Slope of the line will be

m = (y1 - y2)/(x1 - x2)

m = (24 - (-28))/(-4 - 9) = -4

So line will be

y - y1 = m*(x - x1)

y - 24 = -4(x - (-4))

y - 24 = -4x - 16

y = -4x + 8

so when x = 3 then y will be

y = -4*3 + 8 = -4

Ans h(3) = -4