All categories

3 years ago

Write the slope intercept form of the equation of the line described

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

Hello!

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Now, we first can find the slope. We know the line is parallel to y = 2/5x - 2, and parallel lines always have the same slope. Therefore, we now know that the slope (or m) is 2/5. Substitute that in the equation.

y = 2/5x + b

Finally, we are given a point. We can substitute (-5, -3) into the equation, and then solve for b.

x = -5, y = -3

-3 = 2/5 (-5) + b

-3 = -2 + b

-1 = b

Now, we know what b is. Substitute this into the equation.

Therefore, y = 2/5x - 1 is our final equation.

Hope this helps!

You might be interested in

What's the x plz help

slavikrds [6]

Answer:

The answer for x is ten

5 0

3 years ago

Which expression was factored completely using the GCF, if the original expression was

Lerok [7]

Answer:

4x(x+2)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

Amy, Dan and mike are competing in a cooking contest they all used different amounts of milk from a container holding 6 gallons

natka813 [3]

Answer: 0.14

Step-by-step explanation:

You had to convert the decimals into percentages move the decimal point two places to the left which makes 14% the answer

4 0

3 years ago

Read 2 more answers

Factor 48m - 80n. 16mn(3m - 5n) 16(5n - 3m) 16(3m - 5n)

aliya0001 [1]

The correct answer for this would be the last option. The factors of 48m - 80n are 16(3m - 5n). If you try to solve this, the result would be 48m - 80n. 16 x 3m would be 48m and 16 times 5n would be 80n. Hope this is the answer that you are looking for.

4 0

3 years ago