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Oksi-84 [34.3K]
2 years ago
12

Passes through the point (0,6) and has a slope of -2/3

Mathematics
1 answer:
Vadim26 [7]2 years ago
8 0

Answer:

y=-\frac{2}{3}x + 6

Step-by-step explanation:

We are given that a line has a slope of -2/3 and passes through the point (0,6)

We want to write the equation of this line; there are 3 forms of the line that we can use:

  • Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
  • Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
  • Slope-point form, which is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is a point

All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.

As we are already given the slope, we can immediately substitute m with that value.

Replace m with -2/3:

y = -2/3x + b

Now we need to find b.

As the equation passes through the point (0, 6), we can use it to help solve for b.

Substitute 0 as x and 6 as y.

6 = -2/3(0) + b

Multiply

6 = 0 + b

Add

6 = b

Substitute 6 as b.

y = -2/3x + 6

Topic: finding the equation of the line

See more: brainly.com/question/27645158

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All horizontal lines are NOT parallel.

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Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti
Usimov [2.4K]

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

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Substituting into equation 1

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T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

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Let x represent the first score,

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x = 99 points

The minimum score she can get in the fifth test is 99 points

5 0
3 years ago
Help again <br> álgebra 1
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Answer:

A (4,6)

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