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vladimir1956 [14]
3 years ago
5

Please help asap calculate the slope of the line through the points (6,-8) and (3,-4).

Mathematics
2 answers:
sammy [17]3 years ago
5 0

Answer: y = -4/3x + 0. Yes, that point lies on the line

Step-by-step explanation:

Use this equation, Δy/Δx and this one, y = mx + b. Or, change in the y value divided by the change in the x value.

-4 + 8 = 4

3 - 6 = -3

The slope, m, is -4/3. Now solve for b by plugging in the slope.

-4 = \frac{-4}3 (3) + b. B is equal to 0

To see if that point lies on the function, plug it in the equation and see if it is true. Multiply -4 x -3 to get 12, divide by 3 to get 4, then add 0. The equation says that 4 = 4, which is infact true

Reptile [31]3 years ago
3 0

Answer:

<u> y=-4x/3</u>

<u> the point (-3,4) is on the line y= -4x/3</u>

Step-by-step explanation:

the points (6,-8) and (3,-4)

<em><u>a) (y- y1)/(y2- y1)=(x- x1)/(x2- x1) </u></em>

(y+8)/(-4+8)=(x-6)/(3-6)

(y+8)/4=(x-6)/(-3)

-3y-24=4x-24

<u>So, y=-4x/3</u>

b) (-3; 4)

4= -4*(-3)/3

4=4 it is true,

<u> the point (-3,4) is on the line y= -4x/3</u>

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4x + y = 7<br>3x + 2y = 9​
Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2><em><u>Substitution Method</u></em><em><u>:</u></em></h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

<em><u>y = 3</u></em>

Step 4:

Substitute the value of <em><u>y = 3</u></em> in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

<em><u>x = 1</u></em>

<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>

4x + y = 7 i.e., <em>4(1) + (3) = 7</em>

3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>

3 0
3 years ago
The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean
ASHA 777 [7]

Answer:

. B. For every 8 french fries, there is 1 packet of ketchup

Step-by-step explanation:

THIS ARE THE OPTIONS FOR THE QUESTION

A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.

Ratio expresses quotient of two mathematical expressions. It gives relationship in term of quantity, amount existing between two or more things. From the question, it shows that when ever there is 8 french fries, there would be 1 packet of ketchup. I.e french fries and ketchup are in ratio of 8:1

4 0
3 years ago
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
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Answer:

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Step-by-step explanation:

The computation of the number of hours does sidney skate in all is as follows:

= Last month + this month

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= 9.8 hours

Hence, the number of hours does sidney skate in all is 9.8 hours

3 0
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Step-by-step explanation:

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Step-by-step explanation:

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