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Find the eqation of the line passing through the points(3,3) and (4,5)

2 Answers

7 votes

Answer:

Explanation:

Solve by doing y-y1 Over

x-x1 to find m. Pick either set of points and set up the equation as y=mx+b. So if you were to pick 3,3 as your set of points you would set up the equation like this: 3=m(that’s what you find earlier in the problem) (3) +b. Hope this helps in not good at explaining

User Cfkane
by
5.7k points
7 votes

Answer:

The Answer is: y = 2x - 3

Explanation:

Given points: (3, 3) and (4, 5)

Find the slope, m:

m = y - y1/(x - x1)

m = 3 - 5/(3 - 4)

m = -2/-1 = 2

Use the Point Slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 8 + 5

y = 2x - 3

Proof:

f(3) = 2(3) - 3

= 6 - 3 = 3, giving (3, 3)

User Sway
by
6.2k points