Question

I just need y intercept and equation

Answer 1

Answer:

• Slope = 4

• y-intercept = -8

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

• m is the slope

• b is the y-intercept

Given the table

x               y

2              0

7              20

Determining the slope between (2, 0) and (7, 20)

(x₁, y₁) = (2, 0)

(x₂, y₂) = (7, 20)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - 0] / [7 - 2]

               = 20 / 5

               = 4

Thus, the slope of the line = m = 4

now substituting the point (2, 0) and the slope m = 4 in the slope-intercept form of a line equation to determine the y-intercept b.

$y = mx+b$

0 = 4(2) + b

b + 8 = 0

subtract 8 from both sides

b + 8 - 8 = 0 - 8

b = -8

Thus, the y-intercept = -8

Summary:

• Slope = 4

• y-intercept = -8