The equation of line in slope intercept form is y = 2/5 x+2.
What is equation of a line?
The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The points are (x₁, y₁) is (0,2) and (x₂, y₂) is (5,4)
The formula of slope is
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
On substituting the above values,
⇒ [tex]m=\frac{4-2}{5-0}[/tex]
⇒ m = 2/5
Thus the equation of line in slope intercept form is
y-y₁ = m (x-x₁)
On substituting the above values,
⇒ [tex]y-2=\frac{2}{5} (x-0 )[/tex]
⇒ [tex]y-2=\frac{2}{5} x[/tex]
⇒ [tex]y=\frac{2}{5} x+2[/tex]
Hence we can conclude that the equation of line in slope intercept form is y = 2/5 x + 2.
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