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Darya [45]
3 years ago
10

Find the slope and y-intercept in the equation. 2x+4y=9

Mathematics
1 answer:
const2013 [10]3 years ago
4 0
The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.

To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
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A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
Ksju [112]

Answer:

4x - 5y - 9 = 0

\frac{9}{4}

\frac{-9}{5}

Step-by-step explanation:

The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by \frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}

⇒ \frac{y+5}{-4} =\frac{x+4}{-5}

⇒ 5y + 25 = 4x + 16

⇒ 4x - 5y - 9 = 0 ....(1) (Answer)

Now, this above equation can be represented as

\frac{x}{\frac{9}{4} } + \frac{y}{\frac{-9}{5} } =1

Therefore, the x-intercept is \frac{9}{4} (Answer)

And the y-intercept is \frac{-9}{5}. (Answer)

7 0
3 years ago
Read 2 more answers
2x+3y=-12<br> 2x+t=-16<br> X=. Y=<br> Help plz
8090 [49]

<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>

Answer:

<em>x = -9</em>

<em>y = 2</em>

Step-by-step explanation:

<u>Solve the system:</u>

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

8 0
3 years ago
I need help please Asap
s2008m [1.1K]

Answer:

Step-by-step explanation:

1.

Equation one:

x = -5, x = -1 (Both are real)

Equation two:

No real solutions

Equation three:

x = -3 (Real)

Equation four:

No real solutions

2.

The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.

4 0
2 years ago
The Miller family drove 357 miles on Monday. They drove a total of 736 miles in 2 days. How many miles did the Miller family dri
Rus_ich [418]

Answer:The Miller family drove 379miles on Tuesday.

Step-by-step explanation:

Amount of miles driven in two days = 736  miles

Amount of miles driven on Monday = 357miles

 Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday

= 736miles -357miles

=379miles

4 0
3 years ago
Determine the function's value when x = -1.
svp [43]
It is option c. Because when we substitute x for -1 we get the remainder as 1.
8 0
3 years ago
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