Mx+b=y m is your slope which u can find by using two point see how far the x are and the y are then the y/x is your slope. Then he is your starting value so what y is when x= 0

8 0

3 years ago

What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2

weeeeeb [17]

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x y

1 8

2 6

3 4

4 2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)$

$m=\frac{6-8}{2-1}$

$m=-2$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

$y=mx+b$

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

6 0

2 years ago

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