How do i find the y intercept of a function

Asked by admin @ 04/11/2021 in Mathematics viewed by 273 People

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

Answered by admin @ 04/11/2021

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

How do you find the y intercept of a function

Asked by admin @ 29/10/2021 in Mathematics viewed by 275 persons

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

How to find the y intercept of a linear function

Asked by admin @ 10/11/2021 in Mathematics viewed by 278 persons

Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table: Identify the y-intercept of the line given in …

How to find y intercept of rational function

Asked by maham237 @ 07/01/2021 in Mathematics viewed by 305 persons

PLEASE HELP!! Find the y-intercept of the rational function. A rational function is graphed in the first quadrant, and in the second, third and fourth quadrants are other pieces of …

How to find x and y intercepts of rational functions

Asked by admin @ 27/11/2021 in Mathematics viewed by 328 persons

How do we find x-intercept of rational function

Finding the x and y intercepts of a rational function

Asked by admin @ 22/11/2021 in Mathematics viewed by 342 persons

Task 3—Graphing Rational Functions Create a rational function with a linear binomial in both the numerator and denominator. -Part 1. Graph your function using technology. Include the horizontal and vertical …

What are the slope and y-intercept of the linear function graphed to the left?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 419 persons

What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; y-intercept: 1 slope: ; y-intercept: 2 slope: 2; y-intercept: 1

How do you find the y intercept of an equation

Asked by admin @ 28/10/2021 in Mathematics viewed by 286 persons

Find the slope and y-intercept of the equation 3x-4y=20

Find the y intercept for the equation y 2x 6

Asked by maham237 @ 19/07/2021 in Mathematics viewed by 310 persons

How to determine the y intercept of a quadratic function

Asked by admin @ 26/11/2021 in Mathematics viewed by 285 persons

What is the y-intercept of this quadratic function? f(x)=-x2+10x-22

How to find the equation with x and y intercepts

Asked by admin @ 10/11/2021 in Mathematics viewed by 339 persons

literally 30 points !!!!! How do you find the x- and y-intercepts of an equation? To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for …