Answer:
[tex]\displaystyle y = \frac{1}{2}x + 10\frac{1}{2}[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-7 + 10}{7 - 1} = \frac{3}{6} = \frac{1}{2}[/tex]
Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
10 = −½ + b
[tex]\displaystyle 10\frac{1}{2} = b \\ \\ y = \frac{1}{2}x + 10\frac{1}{2}[/tex]
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7 = ½[−7] + b
−3½
[tex]\displaystyle 10\frac{1}{2} = b \\ \\ y = \frac{1}{2}x + 10\frac{1}{2}[/tex]
** 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.
