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4 years ago

write an equation in point-slope from for the line that has a slope of 6and contains the point (-8, -7)

2 answers:

5 0

So,

We need the equation y = mx + b. We need to know the slope and the y-intercept.

The question already gives us the slope: 6.

y = 6x + b

If we substitute the given solution for x and y, we will be able to solve for b.
-7 = 6(-8) + b

Distribute
-7 = -48 + b

Add 48 to both sides
41 = b

y = 6x + 41

Korvikt [17]4 years ago

5 0

I'm guessing that point-slope form is somewhat like slope intercept form=y=mx+b is what I learned
m=slope
b=y-intercept

so slope is 6 so subsitute
y=6x+b
now solve for b by subsituting
(x,y) so
(-8,-7)
x=8
y=-7
subistute
-7=6 times -8+b
-7=-48+b
add 48 to both sides
41=b

y=6x+41

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Help pls need help show your solution and then graph

Stella [2.4K]

Answer:

Step-by-step explanation:

We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.

ax^2 + bx + c

a=4

b=-9

c=2

you can try it by hand or use this:

https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php

you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)

so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis

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3 years ago

Find the equation of the line given the following

Oduvanchick [21]

Answer:

1. y = -10x + 6

2. y = -x - 6

3. y = 13x + 110

4. y = -5x + 47

5. y = 7/4 x -7

Step-by-step explanation:

2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6

3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110

4. (10,-3) and (7,12)

Slope = (12 - - 3)(7- 10) = 15/-3 = -5

y- intercept = 12 - (-5)(7) = 47

5. (4,0) and (0, -7)

Slope: (-7-0)/(0-4) = -7/-4 = 7/4

y-intercept: -7 - 7/4)(0) = -7

7 0

3 years ago

Fractions and decimals

svlad2 [7]

Answer:

All the GCFs look good! Here's the simplified fractions:

Step-by-step explanation:

1. 2/3

2. 3/4

3. 3/7

4. 3/16

5. 27/29

6. 4/11

7. 2/11

Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!

4 0

2 years ago

Someone please help

dedylja [7]

Answer:

1. y = -2x + 5

2. y = 3/5x + 5

3. y = -4/5x - 4

4. y = - 1

5. yes

6. yes

7. yes

8. no

Step-by-step explanation:

1. (4,-3) parallel to y= -2x

-3 = -2(4)+b

b=5

2. (-5,2) parallel to y = 3/5x

2= 3/5(-5)+b

b=5

3. (-5,0) -4/5x

0 = -4/5(-5)+b

b = -4

4. (-4,-1)

y= -1

5. yes

6. yes

7. yes

8. no

Same slope = parallel ex. y = -5x +7, y = -5x +12
opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
to find "b" with slope and point

(x,y) y = mx + b

plug in the y value and x value in the eqaution and m=slope, solve for b

7 0

3 years ago

Consider the following blood inventory problem facing a hospital. There is a need for a rare blood type, namely, type AB, Rh neg

KATRIN_1 [288]

Answer:

Step-by-step explanation:

A. The steady state probability vectorπ= (π1, π2, π3, π4, π5, π6, π7) satisfies the system ofequations:πP=π,7Xi=1πi= 1which has solutionπ= (π1, π2, π3, π4, π5, π6, π7) = (0.1389,0.1389,0.1390,0.1383,0.1411,0.1302,0.1736)

(B) At any time period, an emergency delivery will be needed ifXn= 1 and the demands either 2 or 3, or ifXn= 2 and the demand is 3. The long-run proportion of time the chain will be in state 1 isπ1 and in-state 2π2.

6 0

3 years ago