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11 votes
What is the y-intercept of a line passing through (3, 8) and parallel to y = 2x - 5?

User Rakhi
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2 Answers

20 votes
20 votes

Answer:

'

  • yintercept ,xequals to zero

Explanation:

y=2x-5 x=0. y=2*0-5. y=0-5. y=-5

User Ajar
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2.5k points
14 votes
14 votes

Answer:

y-intercept = 2

Explanation:

If a line is parallel to another line, they share the same slope.

Therefore, the slope of the new line = 2

Using the slope-intercept equation: y = mx + b

where m is the slope and b is the y-intercept

The new line equation is: y = 2x + b

If the new line passes through point (3, 8), substitute x = 3 and y = 8 into y = 2x + b and solve for b:

8 = (2 x 3) + b

⇒ 8 = 6 + b

⇒ b = 2

So the new line equation is: y = 2x + 2

Therefore, the y-intercept of the line passing through (3,8) and parallel to y = 2x - 5 is 2

User Padhu
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3.0k points