How to i find a linear function h given h(1)=4 and h(-2)=13

Talon Mcbride

Talon Mcbride

Answered question

2022-07-28

How to i find a linear function h given h(1)=4 and h(-2)=13

Answer & Explanation

coolng90qo

coolng90qo

Beginner2022-07-29Added 14 answers

You are given two points.
(1,4) and (-2,13)
The slope is given by:
y 2 y 1 x 2 x 1 = 13 4 2 4 = 9 6 = 3 2
So know you know, the slope m =-3/2.
To get an equation, use the point-slope formula.
y y 1 = m ( x x 1 )
You can use either point, so let x 1 = 1 and y 1 = 4.
y 4 = 3 2 ( x 1 )
y 4 = 3 2 x + 3 2
y = 3 2 x + 11 2
Now replace y with h.
h ( x ) = 3 2 x + 11 2

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