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kotegsom [21]
3 years ago
5

A line with a slope of 1/4 passes through (-1,-4). Write the equation of the line in general form.

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(-1,-4)...x = -1 and y = -4

now sub and find b, the y intercept

-4 = 1/4(-1) + b

-4 = -1/4 + b

-4 + 1/4 = b

-16/4 + 1/4 = b

-15/4 = b

so the equation in slope intercept form is : y = 1/4x - 15/4

but we need it in general form : Ax + By + C = 0

y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions

4y = x - 15......subtract  x and add 15 ...to both sides

4y - x + 15 = 0 <=== general form

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2 years ago
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Answer:

5/6

Step-by-step explanation:

<em>Dividing fractions:</em>

<em>Step 1: Rewrite the first fraction as it is.</em>

<em>Step 2: Replace the division sign with a multiplication sign.</em>

<em>Step 3: Flip the second fraction.</em>

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Let's use the rule of dividing fractions on your problem.

Step 1: Rewrite the first fraction as it is.

\dfrac{5}{8}

Step 2: Replace the division sign with a multiplication sign.

\dfrac{5}{8} \times

Step 3: Flip the second fraction.

\dfrac{5}{8} \times \dfrac{4}{3}

Step 4: Multiply the fractions and reduce the product if necessary.

To multiply fractions, multiply the numerators together, and multiply the denominators together.

\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}

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3 years ago
The diagram below shows two
LiRa [457]

Answer:

4 cm

Step-by-step explanation:

\frac{8}{ST}  = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4

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