Find the equation of a line with slope 3 that contains the point (1,2). Write the equation in the slope - intercept form.

Question

College Algebra

Answer 1

Hello, thank you for taking the time to post your question!

We’re trying to get the equation in the form y = mx + b, where “m” is the slope and “b” is the y-intercept.

We’re given the value of m = 3 directly, so I would use the point to find the corresponding value of the y-intercept

2 = 3(1) + b

2 = 3 + b

-1 = b

Meaning that the equation of the line is y = 3x - 1

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

P(1,2)  m = 3    Since you are given a point and a slope, use the point-slope form for the equation of a line: y - y₁ = m(x - x₁)

y - 2 = 3(x - 1)

y - 2 = 3x - 3

y = 3x - 1