Question

Write the equation in slope intercept form that passes through (-5,10) and (2,4)

Answer 1

`\displaystyle y = -(6)/(7)x + 5(5)/(7)`

Explanation:

First, find the rate of change [slope]:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-10 + 4)/(5 + 2) = -(6)/(7)`

Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

4 = −6⁄7[2] + b

−1 5⁄7

`\displaystyle 5(5)/(7) = b \\ \\ y = -(6)/(7)x + 5(5)/(7)`

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10 = −6⁄7[−5] + b

4 2⁄7

`\displaystyle 5(5)/(7) = b \\ \\ y = -(6)/(7)x + 5(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.