Write the equation of the line with slope –2/3 that passes through the point (10, –4)

Answers

Answer 1

Answer:

Answer: $y=-(2)/(3) x+(8)/(3)$

Step-by-step explanation:

The equation of the line goes as $y=mx+b$ , where m is slope and b is y-intercept. Since we are already given slope and a point (x,y), we can plug those values in and solve for b.

$-4=-(2)/(3) (10)+b$ [multiply]

$-4=-(20)/(3) +b$ [add both sides by 20/3]

$b=(8)/(3)$

Now, we can plug in all the values together to get $y=-(2)/(3) x+(8)/(3)$ .

Answer 2

Answer:

Final answer:

The equation of the line with the slope -2/3 that passes through the point (10, -4) is y = -2/3x + 8/3.

Explanation:

The subject of this question is the equation of a straight line, specifically how to write the equation of a line with a given slope and passing through a specific point. Given the slope, m = -2/3, and the point P(10, -4), we can use the point-slope form of the line which is y - y1 = m(x - x1). Substituting the given values into the formula, we get y - (-4) = -2/3(x - 10). Simplifying this we get y + 4 = -2/3x + 20/3. Even further simplification leads to the equation of the line y = -2/3x + 20/3 - 12/3, finall getting y = -2/3x + 8/3.

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James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.

Answers

Answer:

150+25x = 600

Step-by-step explanation:

Hope this helped!

Nolan's car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?

Answers

Answer:75

Step-by-step explanation: 50÷2 is 25 so that means each gallon gives you 25 miles so then you add 25 miles to 50 because it went up too 3 gallons

Choose one of the factors of x6 + 1000x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

Answers

x⁶ + 1000
x⁶ - 10x⁴ + 10x⁴ + 100x² - 100x² + 1000
x⁶ - 10x⁴ + 100x² + 10x⁴ - 100x² + 1000
x²(x⁴) - x²(10x²) + x²(100) + 10(x⁴) - 10(10x²) + 10(10)
x²(x⁴ - 10x² + 100) + 10(x⁴ - 10x² + 100)
(x² + 10)(x⁴ - 10x² + 100)

C is the Correct Answer 100%.

Mark Brainiest Answer plz.

ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?25 units

7 units

5 units

7√ units

Answers

By translating triangle ABC 4 units up and 3 units left to form triangle A'B'C' means that the line joining each of the corresponding points represents the hypothenus of a right triangle with legs 4 units and 3 unit. To find the length of each corresponding points, we use the prthagoras theorem which states that the square of the length of the pythagoras of a right triangle is equal to the sum of the squares of the lenght of other legs. i.e. the square of the required distance = 4^2 + 3^2 = 16 + 9 = 25 Therefore, the distance of eachcorresponding side is given by the square root of 25 = 5.

Answer:

Step-by-step explanation:

I need help with question ten this is probably easy but I need an answer asap!!!!