Since slopes m₁ and m₂ are equal to 5, it shows that these two lines are parallel.
<h3>What are parallel lines?</h3>
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
<h3>The condition for two parallel lines.</h3>
In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + b
<u>Given the following equations:</u>
y = 5x + 1
2y - 10x + 3 = 0 ⇒ y = 5x - 3/2
m₁ = m₂ = 5.
In this context, we can reasonably infer and logically deduce that these two lines are parallel.
Read more on slope of parallel lines here: brainly.com/question/28427398
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<u>Complete Question:</u>
The equation line L₁ is y = 5x + 1
The equation line L₂ is 2y - 10x + 3 = 0
Show that these two lines are parallel.
