Alison's solar panels have a 10-year guarantee. For how many months is the guarantee good?
2 answers:
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Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1:
Slope
Line 2:
Add 7 on both sides, we get
Slope
Line 3:
Slope
Line 4:
Subtract x from both sides, we get
Multiply by on both sides, we get
Slope
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.
Answer:
A
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line
m = =
= 1
y = x ← is the equation of the line → A