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earnstyle [38]
2 years ago
10

A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.

Mathematics
1 answer:
BaLLatris [955]2 years ago
7 0

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

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The median household incomes in dollars in four towns over time are shown. Assume the median incomes increase linearly. Median H
marysya [2.9K]

Answer:

Step-by-step explanation:

Household.          Year 2010.         Year 2015.           Difference

Adderley.              47,200               58,200.                11,000

Bonniville.              52,900.             62,400.                9,500

Clay City.               44,600.              57,600.                13,000

Daletown.              41,500.               54,000.               12,500

Percentage increase for Adderley = 11,000/47,200 * 100= 23.3%

Percentage increase for Bonniville = 9,500/52,900 * 100= 17.96%

Percentage increase for Clay City = 13,000/44,600 * 100= 29.15%

Percentage increase for Daletown = 12,500/41,500 * 100= 30.12%

We can now see that Bonniville is the city with the lowest rate of increase in median household income.

7 0
3 years ago
Help please multiply matrix D by matrix E.
aleksandr82 [10.1K]
It's going to be a 3x2. Im assuming its [ 5 10 on the first row, second row would be -2, -4, then the bottom row would be 1, 2] Hope I helped!

3 0
3 years ago
Read 2 more answers
While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped
aliya0001 [1]

Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

<u>To calculate the total savings before shopping, we need to use the following formula:</u>

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

7 0
3 years ago
What is the point slope form of a line with slope 3 that contains the point (2,1)
Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0
3 years ago
The cost of a fridge has increased by 15% to £828. Work out the original price
lilavasa [31]
The original value was <span>£720.
720 x .15 (15%) = 108
720 + 108 = 828 </span>
8 0
3 years ago
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