MATHEMATICS MIDDLE SCHOOL

(-3,2) and ( 2,-13) slope intercept equation

Answers

Answer 1

Answer:

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here $x_1=-3, y_1=2, x_2=2, y_2=-13$ .

Slope of the line:

$$m=(y_2-y_1)/(x_2-x_1)$

$$m=(-13-2)/(2-(-3))$

$$m=(-15)/(5)$

m = -3

Using point-slope formula:

$y-y_1=m(x-x_1)$

$y-2=-3(x-(-3))$

$y-2=-3(x+3)$

$y-2=-3x-9$

Add 2 on both sides.

$y-2+2=-3x-9+2$

$y=-3x-7$

Slope-intercept form of the equation is y = -3x - 7.

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What's the area of the shaded region?

Answers

To find for the left side of the missing length of the triangle, I subtracted 3 cm from 7 cm to get 4 cm. (7−3=4 cm)
To find for the bottom side of the missing length of the triangle, I subtracted 3 cm from 6 cm to get 3 cm. (6−3=3 cm)
Now, I will find the area of the unshaded region.
A = $(1)/(2)$ × base × height
A = $(1)/(2)$ × 4 × 3
A = 6 cm²
Then I will solve for the shaded region.
A = base × height
A = 7 × 6
A = 42 cm²
Subtract the area of the unshaded region from the area of the shaded region. (42 cm² − 6 cm² = 36 cm²)
The answer is 36 cm².

7/12 - 3/8=? Please help if you can also if you could give me a few tips tricks and pointers on adding and subtracted fractions that would be amazing thanks again!

Answers

So basically when you are adding or subtracting fractions the denominators the number on the bottom of the fraction 12 in this case and 8 as well the two denominators sharing the least common multiple so what is the lowest multiple of 12 and 8 so count off 12: 12, 24, 36... 8: 8, 16 , 24 does that help?

I get the whole trouble with fractions thing let me see if I can help!

so, 7/12 - 3/8 first you will always want to make the denominators even or the bottom #'s so to do that you have to find the GCD or greatest common denominator. Which would be 24. then you would have to do to the top what you did to the bottom by multiplying the top #'s by 2 for the first fraction (7/12) and then 3 for the denominator. now you just subtract the top numbers as if there wasn't even a fraction there. The bottom # doesn't change ever until you can simplify at the very end when you actually have an answer. so the answer would be 5/24 and that is as simplified as you can get it.

15 points

What is the slope?

Show work for brainliest

Answers

Answer:

slope= 1/2

Step-by-step explanation:

the slope is determined by rise over run. We go up 1 unit and go to the right 2 units therefor the rise over run slope would be 1/2

Find the constant of variation for the relationship shown in the following table:x 1 2 3 4
y 5 10 15 20

A.1

B.2

C.3

D.5

Answers

The answer is B
because if you cross multiply 1/5 with 2/10 you get 2

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?