rain equation of the line that passes through the point (5,6) w the slope of 3

Answer 1

The general equation of a straight line is y = mx + c where m is the slope of the line and c is the intercept.

The line passes through the point (5,6) and the slope m=3 so we can find the intercept, here x is 5 and y is 6:

6 = 3*5 + c => c= 9

So the equation for the line is:

y = 3x + 9

Answer 2

Answer:

Given variables:

b = 3

(x, y) = (5,6)

Linear Equation formula:

y = ax + b

Replace variables

6 = a(6) + 3

-3 -3 to get a subtract both sides -3

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3 = 6a

Now divide both sides with 6

3/6 = 6a/6

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1/3 = a

Therefore a = 1/3

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To write the equation on x, y co-ordinate, substitute a with 1/3 and b with 3

y = ax + b

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y = 1/3x + 3 ===> this is the final equation

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Second option: we can also write this by removing the fraction

3(y = 1/3x +3) --- multiply both sides by 3

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3y = x + 9

-x -x ====> subtract both sides with x

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3y - x = 9 ====> Answer

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