Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form 
Here the slope of the given line is 
If 
is the slope of perpendicular line, then
Answer 1: 
Part B. The slope of the line y=−2x+3 is -2. Since 
then lines from part A are not parallel to line a.
Since 
both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line 
is 
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors 
These vectors are collinear, then
Answer 5: 
Answer: y=-2x-8
Step-by-step explanation:
Parallel lines need to have the same slopes but different y-intercept.
y=-2x -9 is parallel to y=-2x - 8
Answer:
<h2>12x - 20y = -9</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have
Convert
<em>multiply both sides by 10</em>
<em>subtract 24x from both sides</em>
<em>change the signs</em>
<em>divide both sides by 2</em>
Answer:
here the line A and H are parallel
Answer:
Step-by-step explanation:
a) (a + b)² = (a + b) * (a +b)
(a + b)³ = (a + b) * (a +b) * (a +b)
a²- b² = (a +b) (a - b)
Here (a + b) is common in all the three expressions
HCF = (a + b)
b) (x - 1) = (x - 1)
x² - 1 = (x - 1) * (x + 1)
(x³ - 1) = (x - 1) (x² + x + 1)
HCF = (x -1)
