What is an equation of the line that passes through the points (1,3) and (8,5)

Step-by-step explanation:

First, find the rate of change [slope]:

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

5 = 2⁄7[8] + b

2 2⁄7

If you want it in Standard Form:

y = 2⁄7x + 2 5⁄7

- 2⁄7x - 2⁄7x

________________

−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

−7[−2⁄7x + y = 2 5⁄7]

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3 = 2⁄7 + b

y = 2⁄7x + 2 5⁄7

- 2⁄7x - 2⁄7x

_______________

−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

−7[−2⁄7x + y = 2 5⁄7]

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect