Question

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

Answer 1

`\displaystyle y = (1)/(2)x + 10(1)/(2)`

Explanation:

First, find the rate of change [slope]:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-7 + 10)/(7 - 1) = (3)/(6) = (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(1)/(2) = b \\ \\ y = (1)/(2)x + 10(1)/(2)`

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7 = ½[−7] + b

−3½

`\displaystyle 10(1)/(2) = b \\ \\ y = (1)/(2)x + 10(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.