Question

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

Answer 1

Answer:

$\displaystyle y = -\frac{6}{7}x + 5\frac{5}{7}$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-10 + 4}{5 + 2} = -\frac{6}{7}$

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

$\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}$

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10 = −6⁄7[−5] + b

4 2⁄7

$\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}$

** 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.