Question

Write the equation of the line that passes through (-7,7) and (-1.10) in slope-intercept form

Answer 1

Answer:

$\displaystyle y = \frac{1}{2}x + 10\frac{1}{2}$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-7 + 10}{7 - 1} = \frac{3}{6} = \frac{1}{2}$

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

10 = −½ + b

$\displaystyle 10\frac{1}{2} = b \\ \\ y = \frac{1}{2}x + 10\frac{1}{2}$

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7 = ½[−7] + b

−3½

$\displaystyle 10\frac{1}{2} = b \\ \\ y = \frac{1}{2}x + 10\frac{1}{2}$

** 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.