(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A curve has slope 2x + 3 at each point (x, y) on the curve. Which of the following is an equation for this curve if it pases through the point (1,2)?

Answer: y= x^{2}+ 3x - 2

2. Relevant equations

y= mx + b

3. The attempt at a solution

If the slope is 2x + 3, then that means it is the derivative. Since I a point (1,2), I can find m and b.

m = 2(1) + 3 = 5

Thus,

2 = 5(1) + b

b = -3

Therefore, my equation is

y= 5x - 3

But this isn't correct. What am I doing wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Equation of a curve passing through (1,2)

**Physics Forums | Science Articles, Homework Help, Discussion**