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Korolek [52]
3 years ago
6

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

Mathematics
1 answer:
olasank [31]3 years ago
5 0

The y intercept of a graph containing the two points (3,1) and (7,-2) is \frac{13}{4}

<em><u>Solution:</u></em>

Given points are (3, 1) and (7, -2)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Let us first find the slope of line</u></em>

The slope of line is given as:

m = \frac{y_2-y_1}{x_2-x_1}

Here the points are (3, 1) and (7, -2)

(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)

Substituting in formula, we get

m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}

To find the y intercept:

\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }

1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}

Thus  y -intercept is \frac{13}{4}

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Answer:

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3 years ago
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
UkoKoshka [18]
Answer: x = (sqrt(7) + 2)/3 and
x = ( – sqrt(7) + 2)/3

Explanation:

3x^2 - 4x - 1 = 0

Divide both sides by 3:

3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9

Sqrt both sides:

x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|

Set x -2/3 = sqrt(7)/3

=> x = (sqrt(7) + 2)/3

Set x - 2/3 = - sqrt(7)/3

=> x = ( - sqrt(7) + 2)/3
6 0
3 years ago
SOLVE FOR M <br><br> −4m+7=−5
Masteriza [31]

Answer:

m=3

Step-by-step explanation:

-4m+7= -5

Combine like terms.Put +7 on other side.

-4m= -5-7

-4m= -12

It's -4 times m = -12 right ?

So the answer is m=3 because m= -12/-4

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3 years ago
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sleet_krkn [62]

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

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4 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
Lina20 [59]

Answer:

y=-4x-14

Step-by-step explanation:

Lines that are parallel would have the same slope, so the slope is

m= -4

Use point slope equation to solve for the slope intercept equation.

y-y1=m(x-x1)

m= -4

x= -3

y= -2

y-(-2)=-4(x-(-3))

y+2=-4x-12

y=-4x-14

5 0
2 years ago
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