What is the y coordinate of the y−intercept of the line that passes through the points (−4, −1) and (4, 5)

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What is the y coordinate of the y−intercept of the line that passes through the points (−4, −1) and (4, 5)

[From: ] [author: ] [Date: 12-07-12] [Hit: ]

-4 → 4,2 = b ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ so y intercept is 2-Is this homework?......

slope = y2-y1/x2-x1

= (5-(-1)) / (4-(-4))

= 6 / 8 = 3 / 4

so,

for (4,5)

5 = 4 * 3/4+c

c = 5-3

= 2

so

y intercept = 2

equation is y = (3/4) x + 2

-

change in y, -1 → 5, is +6
change in x, -4 → 4, is +8 ∙ ∙ ∙ ∙ so slope is 6/8 = 3/4

y = 3/4 x + b
-1 = 3/4 (-4) + b
-1 = -3 + b
2 = b ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ so y intercept is 2

-

Is this homework?

1

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