All categories

3 years ago

A line with a slope of –2 passes through the point (–4, 8). What is the equation of the slope-intercept form?

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

y= -2x

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x= -4, y=8,

8= -2(-4) +c

8= 8 +c (expand)

c= 8-8 (-8 on both sides)

c=0 (simplify)

Thus, the equation of the line is y= -2x.

You might be interested in

Point (a, b) is transformed by the rule (a, b−4) .

Tanzania [10]

I really think the answer is C

7 0

3 years ago

Six cakes cost $2.40 so how much do 10 cakes cost?

Gemiola [76]

$6c...........2.40\$ \\ 10c...........x \\\\ x=\frac{2.40*10}{6}= \frac{24.0}{6} \\\\ \boxed{x=4\$}$

5 0

3 years ago

Read 2 more answers

How is the sum expressed in sigma notation? <br> 1/64+1/16+1/4 + 1 + 4

shusha [124]

9514 1404 393

Answer:

sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we have ...

term #: 1, 2, 3, 4, 5

value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

$\displaystyle sum=\sum_{n=1}^5{4^{n-4}}$

5 0

2 years ago

A house was purchased in 2005 for $150,000. It is now valued at $135,000. What is the percent of change for the house?

Ann [662]

22,500+135,00= 157,000
15% is wrong, 15% equals 22,500

Next, 10% 15000

If you add 15000 to 135000 it will equal 150000 so 10% is correct.

6 0

2 years ago

How does moving the place of a digit change its value

AlexFokin [52]

In the familiar decimal number system that we use every day, moving the place
of a digit changes its value by a power of 10 .

In a system of numbers to any other base, moving the place of a digit changes
its value by a power of whatever the base of that number system is.

6 0

3 years ago