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Sagot :
The equation of a line with point (0,5) and gradient 3 in the form of y = mx + c is y = 3x + 5.
The point slope form of the equation to be used for finding the equation is -
y - [tex] y_{1}[/tex] = m (x - [tex] x_{1}[/tex] )
As per the mentioned information, m or slope is 3, [tex] y_{1}[/tex] is 5 and [tex] x_{1}[/tex] is 0. Keep the values in point slope form to find the equation.
y - 5 = 3 (x - 0)
Performing multiplication on Right Hand Side
y - 5 = 3x - 0
Shifting 5 to Right Hand Side
y = 3x + 5
Thus, the answer is y = 3x + 5.
Learn more about equation -
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