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If the line passing through (3,- 4) and (-2, a) is parallel to the line given by the equation y+2x+3=0, find the value of a.

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Answer:

a = 4

Explanation:

Parallel lines have the same slope.

y + 2x + 3 = 0 in the slope intercept form of the line is

y = -2x - 3 . I can see from this form that the slope is -2. Use the point given (3, -4) and the slope -2 to write the new equation in the slope intercept form. We need to find b.

y = -4 from the point given (3, -4)

x = 3 from the point given(3,-4)

m = -2 from the other equation

y = mx + b

-4 = (-2)3 + b

-4 = -12 + b Ad 12 to both sides

-4 + 12 = -12 + 12 + b

8 =b

Equation of the new line

y = mx + b

y = -2x + 8

ton find a, substitute -2 for x

y = -2(2) + 8

y = -4 + 8

y = 4

a = 4

User Dmitry Sobolevsky
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