The two lines are parallel
Explanation:The slope-intercept form of the equation of a line is:
y = mx + c
where m represents the slope
c represents the y-intercept
If two lines have equations:
[tex]y=m_1x+c_1_{}[/tex][tex]y=m_2x+c_2[/tex]The two lines are parallel if m₁ = m₂
For the line 5y +2x = 1
This can be rewritten as:
[tex]y\text{ = -}\frac{2}{5}x+\frac{1}{5}[/tex]The slope, m₁ = -2/5
The second line is:
[tex]y\text{ = -}\frac{2}{5}x+3[/tex]m₂ = -2/5
Since m₁ = m₂ = -2/5, the slopes of the two lines are equal, hence the two lines are parallel
