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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:
+ 3x³ - 16x² + 27x - 18
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)
Distribute all 3 parenthesis
= 4 - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18
Collecting like terms
= 4 + 3x³ - 16x² + 27x - 18