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Write a linear function f with f(-4) = 2 and f (6) = -3.

Sagot :

Answer: f(x) = −1/2x
Explanation: Use the slope formula and slope-intercept form y = mx + b to find the equation.

Answer:

Step-by-step explanation:

we have 2 pts (-4,2) and (6,-3)

slope = [tex]\dfrac{-3-2}{6-(-4)}=\dfrac{-5}{10}=-\dfrac{1}{2}[/tex]

so: [tex]y=-\dfrac{1}{2}+b[/tex]

plug in any point:

[tex]-3=-\dfrac{1}{2} * 6 +b[/tex]

[tex]b=0[/tex]

so, [tex]y=-\dfrac{1}{2} x[/tex]