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Hoochie [10]
3 years ago
12

Find the equation of the line.

Mathematics
1 answer:
aev [14]3 years ago
6 0

Hey there! I'm happy to help!

The slope-intercept equation for a line is y=mx+b. It looks like we need to find m and b, where m is the slope, which is the steepness of the line, and b is the y-intercept, where the line hits the y-axis.

Well, from looking at the graph. we immediately see that the line hits the y-axis at (0,4), so this means that the y-intercept, or b, is four.

The slope is pretty easy to find as well. The first thing we need to do is find two points on the line. Well, we have already found one point on the line: (0,4). One other nice point I see is (3,6). Let's use these two to find the slope.

The find the slope, you divide the vertical distance between the two points by the horizontal distance between them.

We see that (3,6) is two squares higher than (0,4). So, our dividend is 2.

Horizontally, we also see that (3,6) is three squares to the right of (0,4). So, our divisor is 3.

This means that our slope, or m is 2/3. This makes sense because for every 1 square to the right the line goes, it goes up 2/3.

Therefore, your equation is y=2/3+4.

Have a wonderful day!

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Example 2
Arada [10]

Answer:

y=x-2

Step-by-step explanation:

If you have drawn the graph of y = x^2 - 3x + 1.

To determine the equation of the line which  should be drawn to solve the equation:  x² - 4x +3=0

Simply carry out the subtraction: x^2 - 3x + 1 -(x^2 - 4x +3)

\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3  + 1\\=x-2

The equation of the line which should be drawn is: y=x-2

What this means is simply:

If

y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0

5 0
3 years ago
The measure of the angle with "?" is what?
Sergeeva-Olga [200]

Answer:

? =  116°

Step-by-step explanation:

when a line passes through 2 parallel lines,

the angles ?° + 64° are complementary or add up to 180°

? + 64° = 180°

? = 180° - 64° = 116°

4 0
3 years ago
The critical pressure of carbon dioxide is 72.7 atm what is this value in units of pascals?
Elenna [48]

Answer:

7,366,327.50 pascals

Step-by-step explanation:

we know that

1 atm= 101,325 pascals

we have

72.7 am

Convert to pascals

72.7 atm=72.7*101,325=7,366,327.50 pascals

7 0
2 years ago
A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?
zloy xaker [14]

16 % = 38

(16 × 6 = 96

16 / 4 = 4 so = 38/4 = 9.5)

100% = 38*5 + 9.5

=199.5

3 0
2 years ago
This dot plot is not symmetric, and the data set has three extreme values.
Westkost [7]

Answer:interquartile range IQR

Step-by-step explanation:ApE x

3 0
2 years ago
Read 2 more answers
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