(-3, 1) parallel to y=2/3x +5

Question

Write the slope-intercept form

Answer 1

Hey Melanie

 

I'm Kathy  :-)

 

I assume you want a line that goes through the given point and parallel to the given line.

 

A line that is parallel to y=2/3 x + 5 will have the same slope.

 

slope of that line is 2/3...the number in front of the x.

 

So our new line will have slope of 2/3.

 

now we need the y-intercept.

 

To find that start with a slope intercept equation

 

y=mx+b

 

plug in the slope that we already know...it goes in for x...will be the number in front of x

 

y= 2/3 x + b.

 

now all we need is a number to plug in for the "b" and we will have it.

 

to get the "b"...start with the part you already know.

 

y = 2/3 x + b

 

use the point they gave you...(-3,1)...and get x and y from it

 

x will be -3 and y will be 1

 

plug that in

 

1= 2/3 ( -3) + b

 

now we solve for b

 

1 = -2 + b

 

3 = b

 

now we have the b we need

 

y = 2/3 x + b

 

y = 2/3 x + 3

 

and you are done

 

If you have questions about any of that and need me to explain it better just let me know.

Answer 2

Use y=mx+b.  M is the slope...parallel line have the same slope.  Plug in the point given and solve for b...