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mart [117]
3 years ago
12

Slope of (0,1) and (5,-3)

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

Your answer is \frac{-4}{5}

Step-by-step explanation:

1.  Slope formula is \frac{y2-y1}{x2-x1}

2.  Substitute:  \frac{-3-1}{5-0}

3.  Subtract:  \frac{-4}{5}

Hope this helps.  Leave a comment if you have questions!

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1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
Sveta_85 [38]

Answer:

1. -5x+3y+44=0

2. 2x+y-2=0

3. 2x+y-4=0

Step-by-step explanation:

Standard form of a line is Ax+By+C=0.

If a line passing through two points then the equation of line is

y-y_1=m(x-x_1)

where, m is slope, i.e.,m=\dfrac{y_2-y_1}{x_2-x_1}.

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)

y+3=\dfrac{-5}{-3}(x-7)

y+3=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

-5x+3y+9+35=0

-5x+3y+44=0

Therefore, the required equation is -5x+3y+44=0.

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y =-5.

Slope of the line : m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

y-2=-2(x-0)

y-2=-2x

2x+y-2=0

Therefore, the required equation is 2x+y-2=0.

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y =-5.

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

y-0=-2(x-2)

y=-2x+4

2x+y-4=0

Therefore, the required equation is 2x+y-4=0.

5 0
3 years ago
If 19 represents 228 gallons, what is the value of 6 units
levacccp [35]

Answer:

72 gallons

Step-by-step explanation:

we know that

19 units represent 228 gallons

so

using proportion

Find out how many gallons represent 6 units

Let

x ---> the number of gallons for 6 units

\frac{228}{19}\ \frac{gallons}{units} =\frac{x}{6}\ \frac{gallons}{units}\\\\x=228(6)/19\\\\x=72\ gallons

7 0
3 years ago
100000000000000000000000000000000000000000+53624785326348756348927563482564328965342875634289573264
Arlecino [84]

Answer:

5.3624785e+55

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is 180°, 2` a reflex angle?​
Leokris [45]

yes it is .....,...............reflex angle

3 0
3 years ago
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Zepler [3.9K]

Answer:

£320

Step-by-step explanation:

Using proportion,

If 110% =  £352

100% = ?

= \frac{100}{110} * 352

= £320

5 0
3 years ago
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