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goblinko [34]
2 years ago
15

Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (

2, 1)
Mathematics
1 answer:
yan [13]2 years ago
6 0

The standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is <u>y - y₁ = m(x - x₁)</u> when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

Learn more about equations of straight lines at

brainly.com/question/13763238

#SPJ4

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WARRIOR [948]

Answer:

0.191

Step-by-step explanation:

0.169

+

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3 years ago
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:20 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:20 the acce
storchak [24]

Answer:

The correct answer will be "60 min/hour".

Step-by-step explanation:

At time 2:00 PM

A car reads = 30 mi/h

At time 2:20 PM

A car reads = 50 mi/h

Now,

At time 2:00 PM

t = 0

At time 2:20 PM

t = \frac{1}{3}

v(0)=30

v(\frac{1}{3})=50

For MVT,

v'(c)=\frac{v(\frac{1}{3} -v(0))}{(\frac{1}{3} )}

       =\frac{20}{\frac{1}{3} }

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5 0
3 years ago
6.11 - 1.2<br><br><br> 7<br><br><br> 5<br><br> 5<br><br> 6<br> 6
Alex777 [14]

Answer:

4.91 hope this helps :D

Step-by-step explanation:

4 0
3 years ago
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Find the slope for (3,0) and (4,1)
Delvig [45]

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

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8 0
2 years ago
2/3 divide by 4/5? ​
Alenkasestr [34]

Answer:

\frac{5}{6}

Step-by-step explanation:

  \frac{2}{3}                ÷                 \frac{4}{5}

  ↓               ↓                 ↓  

leave it   change it   turn it over

  \frac{2}{3}                ×                  \frac{5}{4}

now solve it

\frac{2}{3} × \frac{5}{4} = \frac{10}{12}

now simplify it

\frac{10}{12} = \frac{5}{6}

4 0
3 years ago
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