A line is parallel to 5x+2y-8=0 and has the same y-intercept as x+4y-12=0

Question

Find an equation for the line.

Answer 1

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

Answer 2

Type Feller:
m-5/2 b=3

Correct:

m=-5/2 b=3