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

@johnweldon1993

Answer 2

So first thing...parallel lines have ___ slopes?

Answer 3

same ?

Answer 4

Right...so the line we are looking for has the same slope as

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

so it would have the slope 3 over 2 right?

now..we know a slope...and we know a point on the line, lets use the point slope form of a line to find out what the equation is

\[\large y - y_0 = m(x - x_0)\]

m is the slope.....x_o and y_o are the points we have...(2,3)

so if we plug all that in...we have

\[\large y - 3 = \frac{3}{2}(x - 2)\]

can you simplify that for me :)

Answer 5

y = 3x/2

Answer 6

Perfect :)

Answer 7

its not in my choices ;/

Answer 8

It's the third answer choice :)

\[\large y = \frac{3}{2}x\]

Answer 9

ohhhhhhhhhh gotcha ... thank you :3

Answer 10

Anytime :)