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erma4kov [3.2K]
3 years ago
8

write a slope intercept equation for a line with the given characteristics m=4/15, passes though (5,8)

Mathematics
1 answer:
morpeh [17]3 years ago
5 0
The answer to the question

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Write the standard form of the equation of the line that passes through (-2, -3) and (2,-5).
Naily [24]

Answer:

y= -1/2x-4

Step-by-step explanation:

By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!

5 0
3 years ago
The Boardman family walked two over five of a mile in two over seven of an hour. What is their unit rate in miles per hour?
hichkok12 [17]
If the family walked 2/5 of a mile in 2/7 of an hour their MPH would be 2.8mph 
3 0
3 years ago
Quick algebra 1 question for 10 points!
zaharov [31]

<u>Answer:</u>

○ x = -7

<u>Step-by-step explanation:</u>

Given the equation:

10(x + 10) - 4 = 11 - 5(2x + 11),

to solve for x, we have to rearrange the equation to make x its subject.

10(x + 10) - 4 = 11 - 5(2x + 11)

⇒ 10x + 100 - 4 = 11 - 10x -55      [expand brackets]

⇒ 10x + 96 = -44 - 10x

⇒ 10x + 10x + 96 = -44                   [add 10x to both sides]

⇒ 20x + 96 = -44

⇒ 20x = -44 - 96                             [subtract 96 from both sides]

⇒ 20x = -140

⇒ x = \frac{-140}{20}                                        [divide both sides by 20]

⇒ x = \bf-7

6 0
2 years ago
Read 2 more answers
which unit would you use to measure the volume of a small cardboard box a cubic centimeters b grams c degrees d liters
MatroZZZ [7]
Degrees measures temperature,
liters measures liquids,
grams measures mass, 
cubic centimeters measures volume.
8 0
3 years ago
Read 2 more answers
Tami spins a spinner with seven sections. The sections are
tia_tia [17]

Answer:

B

Step-by-step explanation:

if all sides are equal and there are 7 sides than each side has and equal opportunity to be landed on.

5 0
3 years ago
Read 2 more answers
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