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Find the equation of a line that passes through the point (0,5) and has a gradient of 3. Leave your answer in the form y = m x + c.

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.

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