Question

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 + ?

Answer 1

Answer:

$y=-4x+2$

Step-by-step explanation:

we know that

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

$y=mx+b$

Step 1

Find the slope m

Let

$A(1,-2),B(2.-6)$

$m=(-6+2)/(2-1)=-4$

Step 2

Find the value of b

we have

$m=-4$

$A(1,-2)$

substitute in the equation of the line

$y=mx+b$

$-2=(-4)(1)+b$

$-2=-4+b$

$b=2$

The equation in slope intercept form is equal to

$y=-4x+2$