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

1 Answer

2 votes

Answer:


\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)

_______________________________________________

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.

User Kalpesh Khandla
by
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