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3 years ago

Write the equation of the line that has a slope of -2 and goes through the point (-3,4).

Mathematics

2 answers:

liubo4ka [24]3 years ago

4 0

<u>SOLUTION:</u>

General Equation: y = mx + b

Substitute slope = -2 into the equation:

y = -2x + b

Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

Substitute b = -2 into the equation:

y = -2x - 2

Answer: y = -2x - 2

belka [17]3 years ago

3 0

We are given

slope=m=-2

point is (-3,4)

so, we can use point slope form of line

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

Here ,

$x_1=-3, y_1=4$

now, we can plug values in formula

and we get

$y-4=-2(x+3)$

now, we can solve for y

$y-4=-2x-6$

$y=-2x-2$ ..............Answer

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In the ratio 3:7 Zoe received £24 how much did Hannah receive last week

Ludmilka [50]

<span>ratio 3:7

Zoe received £24 (3 x 8 = 24)

</span>Hannah 7 x 8 = £56

3 0

3 years ago

Please answer all part correct

insens350 [35]

Answer:

a). We want to know how much each point was worth.

b). $12x+5=41$

c). Each problem worth 3 points.

Step-by-step explanation:

a). We want to know how much each problem was worth. Because we have the total points of the test, and how much was the bonus. But we still don't know the worth of each problem.

b). We know that the total points of the test were 41, and the bonus 5 points. There were 12 problems on the test and we are going to use "x" for the unknown part (how many points each problem was worth).

The equation is :

$12x+5=41$

Why 12x? Because if you multiply the twelve problems of the test with the worth of each one and then add the 5 points of the bonus you will obtain the total points of the test (41).

c). Now we have to solve the equation, this means that we have to clear "x":

$12x+5=41$

Subtract 5 from both sides.

$12x+5-5=41-5\\12x=36$

Finally divide in 12 both sides of the equation:

$\frac{12x}{12}=\frac{36}{12} \\\\x=3$

Then each problem worth 3 points.

7 0

2 years ago

What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2

vampirchik [111]

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

y=-1/2x-4

4 0

2 years ago

PLEASE HELP URGENT‼️‼️

Dima020 [189]

Part A

(3x)^2*x^4

(3x)*(3x)*x^4 .... expand out (3x)^2

(3*3)*(x*x*x^4)

9x^6

Answer: 9x^6

============================================

Part B

It appears that Tonya forgot to square the 3 term and had this as her steps

(3x)^2*x^4

3x^2*x^4

3x^(2*4)

3x^8

Which is incorrect as the answer in part A indicates.

Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.

The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.

So x^2*x^4 = x^(2+4) = x^6

3 0

2 years ago

PLEASE help me...! I am really stuck on this question.

Mashcka [7]

Answer:

Step-by-step explanation:

the domain of 3^x is (-∞,∞) and the range is (0,∞)

the domain of 3^x-5 is (-∞,∞) and the range is (-5,∞)

the domain doesn't change, the range (-5,∞)

8 0

2 years ago