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3 years ago

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

Mathematics

2 answers:

kiruha [24]3 years ago

7 0

What is the equation of line parallel to y = 3x + 5 and through the point (1, 7)?

Many students are more comfortable using slope intercept form but this kind of problem is actually much easier , using point slope form (which is right below this work)

Step 1

Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b

Step 2

Substitute the given point (1,7) into the x and y values 7 = 3(1) + b

Step 3

Solve for b (the y-intercept)

Step 4

Substitute this value for 'b' in the slope intercept form equation y = 3x + 4

Method 2: Using Post Slope Form

What is the equation of line parallel to y = 3x + 5 and through the point (1, 7)?

If you're comfortable with point slope form , this is the way to go! Just look how little work there is to do! In fact, all that you have to do is substitute twice!

Step 1

Substitute the slope from original line (3 in this case) into the point slope equation y − y1 = m(x − x1)
y − y1 = 3(x − x1)

Step 2

Substitute the given point (1,7) into the x1 and y1 values y − 7= 3(x − 1)

Practice ProblemsProblem 1 - Method 1

What is the equation of line parallel to y = 4x + 3 and through the point (5,9)?

NNADVOKAT [17]3 years ago

7 0

Answer:

y = 4x + 16

Step-by-step explanation:

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Can I please get help with this question? thanks in advance.

Lelu [443]

4/5 = 0.8 and 0.8 = 80%

so 4/5 x = 0.8x = 80% x

Answer

B. Multiplying by 4/5 is the same as multiplying by 80%

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3 years ago

What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction startfraction 24 ov

PIT_PIT [208]

The quotient of the equation is 1.5.

<h3>What is the quotient?</h3>

The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.

The given equation is;

$\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}$

By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.

The solution of the equation is determined in the following steps given below.

$=\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}\\\\=\rm \dfrac{2m+4}{8}\times \dfrac{6}{m+2}\\\\=\rm \dfrac{2(m+2)}{8}\times \dfrac{6}{m+2}\\\\=\dfrac{2\times 6}{8}\\\\=\dfrac{12}{8}\\\\=1.5$

Hence, the quotient of the equation is 1.5.

Learn more about quotient here;

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7 0

2 years ago

Read 2 more answers

A top is reduced by 35% in a sale to £97.50. What was the original price of the top?

Pie

Answer:

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3 years ago

What is the sum of 4 and p?

Murrr4er [49]

Answer:

4+p

Step-by-step explanation:

8 0

3 years ago

The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you ab

Neko [114]

The interquartile range is a measure that indicates the extent to which the central 50% of values within the data set are dispersed.
The interquartile range: Upper quartile - Lower quartile
As we can see in the box-and-whisker plots:
Class A: 89-66 = 23
Class B: 94-79 = 15
This shows that the spread in the scores of class A within the central 50% of values is higher than the spread of the scores of the class B.

5 0

3 years ago