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MArishka [77]
3 years ago
12

The points (–7, 7) and (6, –6) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
2 answers:
AURORKA [14]3 years ago
5 0

Answer:

y= -x

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

Slope

=  \frac{7 - ( - 6)}{ - 7 - 6}

=  \frac{7 + 6}{ - 13}

=  \frac{13}{ - 13}

=  - 1

Substitute m= -1 into the equation:

y= -1x +c

y= -x +c

To find the value of c, substitute a pair of coordinates.

When x= -7, y= 7,

7= -(-7) +c

7= 7 +c

c= 7 -7

c= 0

Thus, the equation of the line is y= -x.

alexandr1967 [171]3 years ago
3 0

Answer:

y=-x

Step-by-step explanation:

Slope =1

Substitute m= -1 into the equation:

y= -1x +c

y= -x +c

To find the value of c, substitute a pair of coordinates.

When x= -7, y= 7,

7= -(-7) +c

7= 7 +c

c= 7 -7

c= 0

Thus, the equation of the line is y= -x.

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−6x + 14 &lt; −28 OR 9x + 15 ≤ −12. solve for x.
sasho [114]

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

4 0
3 years ago
Sarah's water bottle holds 500 milliliters. Shawn container holds 4/5 as much water. How many total milliliters of water do both
tamaranim1 [39]
900 milliliters combined
6 0
3 years ago
Given m||n, find the value of x.<br> (9x-5)(6x+20)
xxTIMURxx [149]

Answer:

5/9 & -10/3

Step-by-step explanation:

Set each to 0 and solve:

9x-5 = 0

9x=5

x=5/9

6x+20=0

6x=-20

x=-20/6

x= -10/3   or -3 1/3

7 0
3 years ago
What is 3 and 5? And show how to solve plz
nataly862011 [7]

Answer:

3. 9n + 6 = 78

5. see below

Step-by-step explanation:

3.

Let the number of adults be n. Each adult ticket costs $9, so the cost of n adult tickets is 9n. There is only one child, and a child's ticket is $6, so the cost of the child's ticket is 6. Adding the costs, you get 9n + 6. The total cost is $78, but the expression representing the total cost is 9n + 6, so 9n + 6 must equal 78. That is the equation.

9n + 6 = 78

5.

Sam bought equal gifts for his two children. The two gifts had the same price, x. He received a discount of $125. How much did each of the two gifts cost before the discount?

5 0
3 years ago
Use properties of operations to write an expression equivalent to the expression below.
Alik [6]

Answer:

q8+p6=14

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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