asykes01
contestada

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

Respuesta :

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
david8644

Answer:

[tex]Y=\frac{3}{2}x[/tex]

Step-by-step 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:

[tex]y=\frac{3}{2x+5}[/tex]

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:[tex]\frac{3}{2}[/tex]

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

[tex]y=\frac{3}{2}x[/tex]

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

[tex]y=\frac{3}{2}x[/tex]

[tex]3=\frac{3}{2}2[/tex]

[tex]3=3[/tex]

We know that it is correct.

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