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3 years ago

Which of the following is the equation of a line that has a slope of -2 and passes through the

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

Answer:

ehhehrjrh4h4hehejejru4u4u

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

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3 years ago

Find the coordinates of the points of intersection of the graphs with coordinate axes: y= 2/3x−5

Vesnalui [34]

x intercept: (7.5,0)

y intercept: (0,-5)

5 0

3 years ago

If there are 80 toys in a shop, 40% of them are for boys. 50% of the boy's toys and 50% of the girl's toys are made by the shop

lana [24]

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

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AfilCa [17]

Pues no se nada alv perdon

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2 years ago

If \triangle △RST is isosceles. find x then find m∠S.<br><br> x=<br> m∠S=

pickupchik [31]

Answer:

You know that you can look it up then you can see the answer right away

Step-by-step explanation:

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3 years ago

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