Finding the Equation of a Line with Point-Slope Formula

[mathdad]

Given m = a/b and the point (a, b), find the equation of the line.

I got to use the point-slope formula.

y - y_1 = m(x - x_1)

y - b = (a/b)(x - a)

y - b = (a/b)x - (a^2)/b

y = (a/b)x - (a^2)/b + b

y = (a/b)x + (b^2 - a^2)/b

Is this correct?

 

[castor28]

Given m = a/b and the point (a, b), find the equation of the line.

I got to use the point-slope formula.

y - y_1 = m(x - x_1)

y - b = (a/b)(x - a)

y - b = (a/b)x - (a^2)/b

y = (a/b)x - (a^2)/b + b

y = (a/b)x + (b^2 - a^2)/b

Is this correct?

That is correct.

 

[mathdad]

Very good.