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The slope of the line that passes through the points (-10,y) and (5, 2) is 2/5. What is the value of y?
A. 0
B. 4
C. -4
D. -2

show ur work for extra points pls

Sagot :

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

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