1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rus_ich [418]
3 years ago
9

which of the following is the equation of a line with a slope of -5/9 and passing through the point (9,6)

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
Given the slope and a point on the line, use the point-slope formula for the equation of a straight line.

y-6 = (-5/9)(x-9)

This can be put into other forms.  For example, 

             Multiplying all terms by 9 results in   9y - 54 = -5(x-9) = -5x + 45

             Solving for y:  9y - 54 = -5x + 45
                                          +54 =        +54
                                      ---------------------------
                                         9y = -5x + 99

Then y = (-5/9)x + 11.
You might be interested in
Austin is raising money for a school trip by selling fruit snacks and candy bars. The price of each fruit snack is $1 and the pr
julia-pushkina [17]
16 fruit snacks and 8 candy bars
6 0
3 years ago
Please help this makes no sense
valina [46]

9514 1404 393

Answer:

  4)  (x, y) = (1, 3)

  5)  length = 11 meters, width = 7 meters

Step-by-step explanation:

4) "Solve by graphing" means graph the two equations and find the coordinates of the point where they intersect.

For graphing these equations, it works well to start at the y-intercept and use the slope to find another point on the line.

These equations are in "slope-intercept form":

  y = mx + b . . . . . . . . . where <em>m</em> is the slope and <em>b</em> is the y-intercept

In the first equation, the slope is 3 and the y-intercept is 0. (We rarely show +0 in an expression or equation.) This means the point where y=0 on the y-axis is one point on the line.

The slope is the ratio of "rise" to "run". A slope of 3 means the line will go up 3 grid squares for each 1 grid square to the right. That is, another point on the line is the point (1, 3).

To graph the first equation, draw a line through the two points (0, 0) and (1, 3).

__

The second equation has a slope of 4 and a y-intercept of -1. This means the  point y=-1 on the y-axis is a point on the line. The slope of 4 means it goes up 4 squares for 1 square to the right, so (x, y) = (1, -1+4) = (1, 3) will be another point on the graph of the second equation. To graph it, draw a line through the two points (0, -1) and (1, 3).

__

If you're paying attention, you have figured out that the point (1, 3) is on both lines. That is the only point on both lines, so it is the solution to the system of equations. The solution is (x, y) = (1, 3). The graph is shown in the attachment.

_____

5) I find it convenient to solve this sort of problem using a single variable. Let w represent the width of the rectangle in meters. Then the length is (w+4), a length that is 4 meters longer than the width.

The perimeter is twice the sum of length and width. An equation expressing that is ...

  P = 2(L +W)

  36 = 2((w+4) +w) . . . . . . . . substitute known values into the formula

Simplifying the equation gives ...

  36 = 2(2w +4)

  36 = 4w +8

Subtracting 8 from both sides, we have ...

  28 = 4w

Then we can divide both sides by 4 to find w.

  7 = w . . . . . . the width

  (w+4) = (7+4) = 11 . . . . . the length

The length and width of the rectangle are 11 meters and 7 meters, respectively.

3 0
2 years ago
Is .01 less than .07
Amanda [17]
Yes, 0.01 is father from 1 in comparison to 0.07
5 0
3 years ago
Read 2 more answers
Can someone please help me please
dexar [7]
It might be B I might not be right
5 0
2 years ago
Read 2 more answers
If two angles have the same measure, then they are right angles true or false
spin [16.1K]

Answer:

False

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Judy paid $120.96 for carpet for her room that is 144 square feet. Nathan liked the carpet she chose, but he wasn’t sure it woul
    12·2 answers
  • Jessa wanted to buy 4 new pairs of socks and she had $25 to do so. Write the equation that Jessa could use to determine how much
    5·1 answer
  • WILL GIVE BRAINLIEST Algebraic expression for a% of b
    15·1 answer
  • a rectangle has a length that is 6 inches longer than its width. if w represents, the width, write an expression, in terms of w,
    9·2 answers
  • In this problem, the tapes used were assumed to be 30.0 m long. Later, when the tapes were standardized, they were found to have
    13·1 answer
  • What is the different prime number of 34​
    12·2 answers
  • Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in do
    12·1 answer
  • This trapezium is drawn on a centimetre grid.<br>Find the area of the trapezium.<br>​
    11·1 answer
  • The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3, 10). What is the area of the
    10·1 answer
  • Find the perimeter of this adjoining figure​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!