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AlexFokin [52]
3 years ago
8

Find the slope of the line passing through (3,5) and (-4,-10)

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

\frac{15}{7}

Step-by-step explanation:

Please see attached picture for full solution.

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How can you write the equation for a linear function if you know only two ordered pairs for the function?
Vinvika [58]
1. m
2. One set of ordered pairs
3. b

To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
m = 8/4
m = 2

An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

y = 2x + b

To solve for b, plug one ordered pair in for x and y. I will use (1,0)

0 = 2(1) + b
0 = 2 + b
-2 = b

Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
4 0
3 years ago
Well I would say I'm trying but, that would be a total lie
pav-90 [236]

Answer:

c.-10

Step-by-step explanation:

4x+2=11

x=9/4...(1)

now,

-4x-1=-4x(9/4)-1=-10

7 0
3 years ago
A chalk board’s dimensions have an
Wewaii [24]

Step-by-step explanation:

5:3=35

5=35×3

5=105

5÷105=0.05

7 0
2 years ago
The pilot of a hot air balloon drops an object over board at a height of 3000 feet name the expression 16t2 represents the dista
Alex787 [66]
96t^2 is the distance represents in feet that the object falls in 6 seconds
3 0
3 years ago
Solve 3(a + 3) – 6 = 21.
tester [92]

Answer:

a=6

Step-by-step explanation:

to find the value of a you need to simplify the equation first. so...

3(a+3)-6=21 (you remove the bracket first)

3a+9-6=21

3a+3=21 (you collect the like terms then)

3a=21-3

3a=18 (then you both divide both sides by 3 to find the value of a)

a=18/3

a=6

to check your answer substitute 3 instead of a

3(a+3)-6=21

3(6+3)-6=21

3(9)-6=21 (according to BODMAS since multiplication comes first you multiply 3 with 9 before subtracting it from 6.)

29-6=21

21=21

6 0
3 years ago
Read 2 more answers
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