What is the equation of the line in slope-intercept form?

The equation of the line in slope-intercept form is:

y = x + 3

Step-by-step explanation:

The slope-intercept form of the line equation

where

Taking two points from the graph

Determining the slope between (0, 3) and (2, 5)

(x₁, y₁) = (0, 3)

(x₂, y₂) = (2, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [5 - 3] / [2 - 0]

               = 2 / 2  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 3

Thus, the y-intercept b = 3

now substituting b = 3 and m = 1 in the slope-intercept form of line equation

y = mx + b

y = 1(x) + 3

y = x + 3

Therefore, the equation of the line in slope-intercept form is:

y = x + 3

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