Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
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We have the points (0, 2) → b = 2 and (4, 6).
Calculate the slope:
[tex]m=\dfrac{6-2}{4-0}=\dfrac{4}{4}=1[/tex]
Substitute the values of the slope and the y-intercept to the equation of a line:
[tex]y=1x+2[/tex]
