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What is the slope-intercept form of the function described by this table? x 1 2 3 4 y −2 −6 −10 −14 Enter your answers in the boxes. y = ? x + ?

Respuesta :

calculista

Answer:

[tex]y=-4x+2[/tex]

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

Step 1

Find the slope m

Let

[tex]A(1,-2),B(2.-6)[/tex]

[tex]m=(-6+2)/(2-1)=-4[/tex]

Step 2

Find the value of b

we have

[tex]m=-4[/tex]

[tex]A(1,-2)[/tex]

substitute in the equation of the line

[tex]y=mx+b[/tex]

[tex]-2=(-4)(1)+b[/tex]

[tex]-2=-4+b[/tex]

[tex]b=2[/tex]

The equation in slope intercept form is equal to

[tex]y=-4x+2[/tex]

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