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3 years ago

What is an equation of the line that passes through the points (4,-6) and has a slope of -3

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

1) y = -3x + 6

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute -3 in its place. Since $x_1$ and $y_1$ represent the x and y values of the point the line intersects, substitute the x and y values of (4,-6) into the formula as well. This gives the following equation:

$y+6 = -3(x-4)$

2) Now, isolate the y in the equation to put it in slope-intercept form and find the answer.

$y + 6 = -3(x-4)\\y + 6 = -3x+12\\y = -3x+6$

So, the first option is correct.

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Examine the system of equations.

Pachacha [2.7K]

Step-by-step explanation:

The lines have different slopes

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2 years ago

Brainliest question Please help me now plz

V125BC [204]

Side a = 10.98991
Side b = 11.69522
Side c = 4

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3 years ago

Show all work Find exact value of x

Illusion [34]

Answer:

129 is x

Step-by-step explanation:

Your equation would be like this x= 45 + 6=180 (180 because the sum of the angle measures in a triangle is 180 always)

so once you add 45+6 =51 the equation is now x=51=180 so you subtract 51 from both sides so it equals as this x=51=180

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3 years ago

State the extremes of the proportion below. 4/7=12/x

yKpoI14uk [10]

$\frac{4}{7} = \frac{12}{x} \\ \\ 1. \: \frac{4}{7}x = 12 \\ \\ 2. \: \frac{4x}{7} = 12 \\ \\ 3. \: 4x = 12 \times 7 \\ \\ 4. \: 4x = 84 \\ \\ 5. \: x = \frac{84}{4} \\ \\ 6. \: x = 21$

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3 years ago

Read 2 more answers

2 1⁄7 × 3 3⁄4 × 5 1⁄3 = plz help me :,(

chubhunter [2.5K]

Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and 7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

3 0

3 years ago