Question

100 POINTS Don't Troll

Answer 1

D

Explanation:

for line on left

calculate the slope of the lines using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m =
`(1-0)/(0-(-2))` =
`(1)/(0+2)` =
`(1)/(2)`

the line crosses the y- axis at (0, 1 ) ⇒ y- intercept = 1

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for line on right

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on line

m =
`(-2-0)/(0-(-2))` =
`(-2)/(0+2)` =
`(-2)/(2)` = - 1

the line crosses the y- axis at (0, - 2 ) ⇒ y- intercept = - 2

Then

`(1)/(2)` p = - 1 ( multiply both sides by 2 )

p = - 2

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1 + q = - 2 ( subtract 1 from both sides )

q = - 3