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goblinko [34]
3 years ago
12

a line passes through the point (4 –6) and has a slope of -

la1" title="\frac{5}{4}" alt="\frac{5}{4}" align="absmiddle" class="latex-formula">. which is the equation of the line
Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

y = \frac{5}{4}x - 1

Step-by-step explanation:

A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?

With the slope of 5/-4, and the ordered pair (4,-6) :  

let m = 5/-4 (slope),  

x1 = 4

y1 = -6

We can use those given values into the point-slope formula:

y - y1 = m(x - x1)

Plugging in those values will give you the answer:  

y - (-6) = \frac{5}{-4} (x - 4)

Distribute \frac{5}{-4}  into the terms inside the parenthesis:

y + 6 = \frac{ 5}{-4}x  + 5  

  Subtract 6 from both sides to isolate y:

y + 6 - 6 = -\frac{ 5}{4}x +5 - 6

The equation of the line in slope-intercept form is:

y = -\frac{ 5}{4}x - 1  

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Graph a line that is perpendicular to the line y=-3x + 2 and has a y-intercept of -6.
Fiesta28 [93]

Answer:

Step-by-step explanation:

the line's equation would be

y = 1/3x -6

so just graph a line using this equation

hope this helps <3

6 0
3 years ago
use the guide to construct a two column proof proving △aec≅△deb, given that ca is parallel to db and e is the midpoint of ad. gi
MrMuchimi

By using the AAA congruence property of Triangles, △aec≅△deb is proved

It is given two triangles, Δaec and Δdeb, where e is the common point known as the midpoint of ad

Also, it is given that,

ca ║db

We need to prove that, △aec≅△deb

Then we'll use AAA congruence property of Triangles to prove the situation

As ca ║db

then, ∠cae = ∠ebd  (Alternate angles)

∠ace = ∠edb (Alternate angles)

and ∠aec = ∠deb (common angles)

Thus, by AAA congruence property, △aec≅△deb

Hence, proved

To learn more about, congruence property, here

brainly.com/question/2039214

#SPJ4

5 0
1 year ago
Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many differe
wolverine [178]

Answer:

2 sets I think

Step-by-step explanation:

what are the answer choices

4 0
3 years ago
the cost of a phone call lasting 3 minutes 30 seconds was 52.5 cents . at this rate what was the cost of a call lasting 5 minute
Effectus [21]

Answer:

80 cents

Step-by-step explanation:

The easiest place to start for this is to calculate how much it costs per minute of call time. To do this, if we know that it costs 52.5 cents to call for 3.5 minutes, we can divide those two numbers to get how much it costs per minute.

52.5/3.5 = 15

If it costs 15 cents per minute, and we want to know how much it would cost to call for 5.33 (5 and 1/3 of a minute), then we multiply our 15 cents a minute by the number of minutes to get the final cost.

15 x 5.33 = 79.99

Because we can't have 99/100 cents, rounding up to 80 is important to get a proper answer.

6 0
3 years ago
What is the result of converting 81 inches to feet remember there are 12 inches in a foot?
AlekseyPX
81 inches converted to feet is 6.75 feet
7 0
3 years ago
Read 2 more answers
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