Write an equation in standard form for the line that passes through the given points.
(0,6) and (4.0)

The equation of the line in standard form is

Step-by-step explanation:

we know that

The equation of the line in standard form is

where

A is a positive integer

B and C are integers

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

we have the points

(0,6) and (4.0)

substitute the values

step 2

Find the equation of the line in slope intercept form

where

m is the slope

b is the y-coordinate of the y-intercept

we have

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is given

The y-intercept is the point (0,6)

so

substitute

step 3

Convert to standard form

Multiply by 2 both sides to remove the fraction

Adds 3x both sides

2 5/8 is the final answer! : )