Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A line is parallel to 5x+2y-8-0 and has the same y-intercept as x+4y-12-0.
Find the equation for the line in slope y-intercept form

Sagot :

Answer:

y=(-5/2)x+3

Step-by-step explanation:

5x+2y-8=0

2y=-5x+8 Divide with 2

y=(-5/2)x+4

Slope is dy/dx

dy/dx=-5/2

x+4y-12=0 for x=0

4y-12=0

4y=12 Divide with 4

y=3 y-intercept

Line equation:

y = mx + b

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.

m-5/2 b=3

Euation for the your line:

y=(-5/2)x+3