SOLUTION: Find a linear function h, given h(5)= -21 and h(-4)= 24. Then find h(2).

Question 712277: Find a linear function h, given h(5)= -21 and h(-4)= 24. Then find h(2).
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find a linear function h, given h(5)= -21 and h(-4)= 24. Then find h(2).
.
"h(5)= -21 and h(-4)= 24" gives you two points:
(5, -21) and (-4,24)
Slope then is
m = (y2-y1)/(x2-x1)
m = (24-(-21))/(-4-5)
m = (24+21)/(-9)
m = (45)/(-9)
m = -5
.
plug slope (-5) and one point (5,-21) into the "point-slope" form:
y - y1 = m(x - x1)
y - (-21) = -5(x - 5)
y + 21 = -5x + 25
y = -5x + 4
.
h(2) then is:
h(2) = -5(2) + 4
h(2) = -10 + 4
h(2) = -6

RELATED QUESTIONS
Find a linear function h given h(-3)=3 and h(0)=2. Then find h(-6). Show all... (answered by Fombitz)

find a linear function h given h(-2) = -4 and h(-8) =... (answered by nyc_function)

Find a linear function h, given h(6)=-4 and h(-4)=16.... (answered by solver91311)

Find a linear function h such that h(-1)=-5 and h(7)=-6. What is... (answered by Edwin McCravy)

linear functions given h(4)=-10 and h(-1)=10 then find h(3) (answered by greenestamps)

find a linear function,h, given h(-6)=32 and... (answered by swincher4391,robertb)

Find a linear function h, given h(9) = - 39 and h(- 1) = 11. Then find h(5). h(x)=... (answered by ikleyn,josgarithmetic)

Can you help me find: Find an equation of a linear function given h(1)=6 and... (answered by Fombitz)

Find the indicated function value? 13. h(x)= 3x^2+5 a. h(0) b. h(-1) c. h(4) d.... (answered by EpicTapeMaster)