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3 years ago

solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)

Mathematics

2 answers:

Paladinen [302]3 years ago

4 0

Answer:

slope for y intercept={10--17)/(14--15)=27/29

Triss [41]3 years ago

3 0

Answer:

The line is y = 27/29x - 88/29
The y-intercept is (0, -88/29)

Step-by-step explanation:

Given point:

(-15,-17), (14,10)

Slope-intercept form:

y = mx + b

Use slope formula:

m = (y₂ - y₁)/(x₂ - x₁)
m = (10 - (-17))/(14 - (-15)) = 27/29

Use one of the points to find the y-intercept:

y = 27/29x + b
10 = 27/29*14 + b
b = (29*10 - 27*14)/29
b = -88 /29

The line is:

y = 27/29x - 88/29

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Answer:

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Step-by-step explanation:

Given

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3 years ago

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miss Akunina [59]

Hey there!!

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3 years ago

Read 2 more answers

A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Check:

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago