Answer:
The equation of the line in slope-intercept form is:
y = x + 3
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