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notsponge [240]
3 years ago
14

Write an equation for the graph of each line.​

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0

Answer:

5. y = 2x + 4

6. y = -0.5x - 2

Step-by-step explanation:

5. Slope: (4-0)/(0--2) = 4/2 = 2

y-intercept: 4

y = 2x + 4

6. slope: (-2-0)/(0--4) = -2/4 = -0.5

y-intercept: -2

y = -0.5x - 2

emmasim [6.3K]3 years ago
3 0

Answer:

5. y = 2x + 4

6. y = (-1/2)x - 2

Step-by-step explanation:

5. We want to find the slope-intercept form of this, which is y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Here, let's take two random points: (-2, 0) and (0, 4). Then we have:

m = (4 - 0) / (0 - (-2)) = 4 / 2 = 2

The slope is thus 2.

The y-intercept is where the line crosses the y-axis. We see it does so at the point (0, 4), so b = 4.

Our equation is thus: y = 2x + 4.

6. Again, let's find the slope. Pick any two points: (-4, 0) and (0, -2). The slope will be:

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

Now, look at the point (0, -2); that's where the line crosses the y-axis, so the y-intercept is b = -2.

Thus, the equation is: y = (-1/2)x - 2.

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Your interest is $72, your principal is $600 and the rate is 4%. How much time will you need to pay off the loan?
hram777 [196]

Answer:

3 years

Step-by-step explanation:

A=P( 1+rt)

A= Total amount

P= Principal

r = yearly interest

t= time in year

672=600(1+0.04t). Distribute

672=600+600x0.04t

72= 24t

t= 3 years

8 0
3 years ago
A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item
xeze [42]

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

8 0
3 years ago
"Four times a number is no more than 36."
kow [346]

Answer:

Step-by-step explanation:

if we consider x as the number we can write this inequality:

4x ≤ 36

If we divide the two members by 4 we have:

x ≤ 9

7 0
2 years ago
Write a rule describing the results when one multiplies three positive and negative decimals and changes the order of multiplica
anygoal [31]

Answer:

2 positive * 1 negative = negative

2 negative * 1 positive = positive

Step-by-step explanation:


one positive and 2 negative

(+ * -) * - =

positive times negative = negative * negative = positive

(+ * -) * -  = +

now if we change the order by putting parenthesis

+ *( - * -)

negative time negative = positive

+ * (+) = positive

the result is positive


The result does not change because of where we put the parentheses.


- * + * + =

negative  times positive = negative

negative * positive= negative

- * + * + =  negative

The order does not matter

6 0
3 years ago
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 mo
julia-pushkina [17]
Keeping in mind that, there are 12 months in a year, therefore, 7 months is really just 7/12 of a year.

\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$2780.20\\
r=rate\to 4.3\%\to \frac{4.3}{100}\to &0.043\\
t=years\to &\frac{7}{12}
\end{cases}
\\\\\\
A=2780.20\left(1+0.043\cdot \frac{7}{12}  \right)
7 0
3 years ago
Read 2 more answers
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