Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

If a bag contains 12 apples , 4 bananas , and 8 oranges , what part to whole ratio bananas to all fruit

marysya [2.9K]

Answer:

4 : 24 or 1 : 6

Step-by-step explanation:

There are 4 bananas and 24 fruits so we just make that a ratio of 4 : 24.

We can then simplify that ratio to 1 : 6.

7 0

3 years ago

Read 2 more answers

1/6 of a loop around the circle would be a rotation of how many degrees (q)?

Verizon [17]

Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

1/6 * 360 = 60

6 0

2 years ago

Help please thanks in advance

Westkost [7]

A) In Part 1 to part 2 the bus had its farthest distance. At part 2 the bus stayed steady time went by. Part 3 to 4 was decreasing distance. part 4 was constant. Then again at part 5 the distance was increasing

B)

1 - increasing

2 - constant

3 - decreasing

4 - constant

5 - increasing

C) Non-linear, because the graph has a curve, for it to be linear it must be a straight line.

Hope this Helps :)

8 0

2 years ago

In the figure above, AB is tangent to the circle with center O

Radda [10]

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;