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3 years ago

Write the standard form of the line that passes through (-1,-3) and (2,1)

Mathematics

1 answer:

maw [93]3 years ago

3 0

Answer:

4x - 3y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equation in point- slope form

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 1)

m = $\frac{1+3}{2+1}$ = $\frac{4}{3}$

Using (a, b) = (2, 1), then

y - 1 = $\frac{4}{3}$ (x - 2) ← in point- slope form

Multiply both sides by 3

3y - 3 = 4(x - 2) ← distribute and rearrange

3y - 3 = 4x - 8 ( add 8 to both sides )

3y + 5 = 4x ( subtract 3y from both sides )

5 = 4x - 3y, so

4x - 3y = 5 ← in standard form

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4 years ago

4(2-3x)+2=38-2x <br> I need help asap

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Answer:

= −14/5

Step-by-step explanation:

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4 years ago

Read 2 more answers

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Elina [12.6K]

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2 years ago

-3/5m + 8 = 20<br> what is the answer of m

horrorfan [7]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20$

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8$

$\qquad \sf \dashrightarrow \: - \frac{ 3}{5} m =12$

$\qquad \sf \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3}$

$\qquad \sf \dashrightarrow \: - m = 4 \times 5$

$\qquad \sf \dashrightarrow \:m = - 20$

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2 years ago

What is the answer to (8y -6

scZoUnD [109]

Answer:

Step-by-step explanation:

Incomplete presentation of question. Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)? Or something else? Also: please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

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3 years ago