All categories

2 years ago

What is the slope-intercept form of the equation 3y − 8x = 12?

2 answers:

6 0

1) add 8x on both sides
3y=12+8x

2)divide by 3 to solve for y
y=4+8/3x

y=8/3x+4

8/3x is the slope, 4 is the y-intercept

VMariaS [17]2 years ago

3 0

Four is the y interest

You might be interested in

4 cats each ate 1/4 cup of canned food and 1/4 cup of dry food. how much food did they eat altogether

VashaNatasha [74]

Answer: 1 cup canned and 1 cup dry, 2cups put together

Step-by-step explanation:

8 0

2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

6 months ago

What does the word "isohyet" mean?

stepan [7]

Answer:

An isohyet is a line on a map which connects points that have the same amounts of precipitation in a given period or for a particular storm.

Step-by-step explanation:

5 0

2 years ago

How do you translate "Nine more than twice a number, w." as a variable expression.

ryzh [129]

9+2w
hopefully this helps!!

5 0

2 years ago

Help please

Novosadov [1.4K]

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-7,5)\ (-4,1)\ into\ equation\\\\ 
\left \{ {{5=-7a+b}\ \ \ \ \atop {1=-4a+b\ |*-1}} \right.\\\\ \left \{ {{5=-7a+b}\ \ \ \ \atop {-1=4a-b}} \right.\\\\
+----\\\\Addition\ method\\\\
4=-3a\ \ |:(-3)\\\\
a=-\frac{4}{3}\\\\
b=5+7a=5+7*(-\frac{4}{3})=5-\frac{28}{3}=-4\frac{1}{3}\\\
Answer\ y=-\frac{4}{3}x-4\frac{1}{3}\\\\
Checking\ solution:\\
y-5=-\frac{4}{3}(x+7)
$ $y-5=-\frac{4}{3}x-\frac{28}{3}\\\\
y=-\frac{4}{3}x-\frac{28}{3}+5\\\\
y=-\frac{4}{3}x-4\frac{1}{3}\\\\Answer:B \ and\ D.$

5 0

3 years ago

Read 2 more answers