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What is the equation of the line that passes through the point 4,8 and has a slope of 3/2​

2 Answers

5 votes

Answer:


y=(3)/(2)x+2

Explanation:

The image below shows proof that the equation
y=(3)/(2)x+2 is the line that passes through point (4, 8) and has a slope of
(3)/(2).

Hope this helps! :)

What is the equation of the line that passes through the point 4,8 and has a slope-example-1
User Timdim
by
8.3k points
5 votes

Answer:


y = (3)/(2) x + 2

Explanation:

It gives us the slope in the question (3/2), so we can write an equation that looks like this:


y = (3)/(2) x + b

To find the y-intercept we can plug the point (4,8) in the equation. Remember that 4 is x and 8 is y.


8 = (3)/(2) (4)+ b

Now solve for b


8 = (12)/(2) + b\\8 = 6 + b\\2 = b

Next, write the full equation using the slope and y-intercept:


y = (3)/(2) x + 2

I hope this helps!!

- Kay :)

User Atinesh
by
8.0k points

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