What is the equation for a line that passes through the points (5,-3) and (-10,15)?

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:

15 = −1⅕[−10] + b

12

If you want it in Standard Form:

y = −1⅕x + 3

+1⅕x + 1⅕x

______________

[We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

5[1⅕x + y = 3]

_______________________________________________

−3 = −1⅕[5] + b

−6

y = −1⅕x + 3

+1⅕x + 1⅕x

______________

[We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

5[1⅕x + y = 3]

** 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.

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step-by-step explanation: