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

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

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

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

Given the equation

Determining the slope between (1, 5) and (2, 6)

(x₁, y₁) = (1, 5)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [5 - 4] / [1 - 0]

                  = 1 / 1  

                   = 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 = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

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

4

step-by-step explanation:

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step-by-step explanation: