Question

Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.

y = negative 2 over 3x
y = negative 2 over 3x − 7
y = 3 over 2x
y = 3 over 2x + 7

Answer 1

you the point - slope form of the equation of a straight line

y - y1 = m(x - x1)

m = slope = 3/2 and x1 = 2 , y1 = 3 so we have

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

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

y = (3/2)x


Choice C is correct

Answer 2

`Y=(3)/(2)x`

Explanation:

In order to solve this problem we just have to know the formula of the equation of a line, this is in the form of the slope:

`y=(3)/(2x+5)`

The formula of the line on its slope form is:

y=mx+c

m is the slope, in our previous line the slope would be:
`(3)/(2)`

Since they are parallel lines, they have the same slope, so our line would be:

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

And we can confirm it by inserting the values of the point that we know:

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

`3=(3)/(2)2`

`3=3`

We know that it is correct.