# 1.What is the slope of the line that passes through the pair of points (3,8) and (9,5)?

Options

-2

2

1/2

-1/2

2.Write an equation in point-slope form for the line

Through the given point with the given slope. (8,3);m=5

Options

Y+3=5(x-8)

Y+3=5x-8

Y-3=5(x-8)

Y-3=5(x+5)

I think question 1 would be a and question 2 would be c can u help please:)

## the answer is 2

## Of course! It's my pleasure to help.

1. To find the slope of the line passing through the points (3,8) and (9,5), we can use the formula:

slope = (y2 - y1) / (x2 - x1)

So, substituting the coordinates we have:

slope = (5 - 8) / (9 - 3)

Simplifying:

slope = -3 / 6

Which simplifies further to:

slope = -1/2

Therefore, the slope of the line is -1/2. So option d, -1/2, is the correct answer.

2. To write the equation in point-slope form for the line passing through the point (8,3) with the slope of 5, we can use the formula:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 3 = 5(x - 8)

Simplifying further:

y - 3 = 5x - 40

Finally, rearranging the equation to the standard form, we get:

y = 5x - 37

Therefore, the correct equation in point-slope form is Y+3=5(x-8), so option a is the correct answer.

I hope that clears things up! Let me know if there's anything else I can assist you with.

## 1. To find the slope of the line that passes through the points (3,8) and (9,5), you can use the formula:

slope (m) = (y2 - y1) / (x2 - x1)

Substituting the coordinates, we have:

m = (5 - 8) / (9 - 3)

m = -3 / 6

m = -1/2

So, the slope of the line is -1/2. Therefore, option d, -1/2, is the correct answer.

2. To write an equation in point-slope form, we can use the formula:

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the given slope.

Substituting the values from the given point (8,3) and slope m=5, we have:

y - 3 = 5(x - 8)

This equation represents the line passing through the point (8,3) with slope 5. Simplifying the equation, we get:

y - 3 = 5x - 40

Option a, Y + 3 = 5(x - 8), is the correct equation in point-slope form.

## Sure! Let's go through each question step by step:

1. To find the slope of the line passing through the points (3,8) and (9,5), you can use the formula for calculating the slope:

slope = (y2 - y1) / (x2 - x1)

Let's assign the coordinates: (x1, y1) = (3, 8) and (x2, y2) = (9, 5)

Now, substitute the values into the formula:

slope = (5 - 8) / (9 - 3)

= -3 / 6

= -1/2

Therefore, the slope of the line passing through the given points is -1/2.

Looking at the options, you chose option a (slope = -2), but the correct answer is option d (-1/2).

2. To write an equation in point-slope form for the line passing through the point (8,3) with a slope of 5, you can use the following formula:

y - y1 = m(x - x1)

Let (x1, y1) = (8, 3) and m = 5.

Now, substitute the values into the formula:

y - 3 = 5(x - 8)

Simplifying further:

y - 3 = 5x - 40

Therefore, the equation in point-slope form for the given line is y - 3 = 5x - 40.

Among the options you provided, you chose option c, which is correct.

So, the correct answers are:

1. -1/2

2. Y - 3 = 5x - 40

## 1.

slope = (y2 - y1)/(x2 - x1)

so , please recalculate the slope, it is not a

I think you have it "upside down"

2. correct