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Answer:
C, -4
Step-by-step explanation:
slope=change in y/change in x
[tex] \frac{2 - y}{5 - ( - 10)} = \frac{2}{5} [/tex]
[tex]\frac{2 - y}{5 + 10} = \frac{2}{5} [/tex]
multiply both sides by 2/5
[tex]2 - y = \frac{2}{5} (5 + 10)[/tex]
simplify the right side. 2/5 × 5 = 2 and 2/5 × 10 = 4
[tex]2 - y = 2 + 4[/tex]
[tex]2 - y = 6[/tex]
bring y to the other side by adding y on both sides
[tex]2 = 6 + y[/tex]
subtract 6 on both sides
[tex]2 - 6 = y[/tex]
so y is -4