Mathematics, 02.10.2019 19:00 jazionaemontgomery

Aline goes through the points (8,9) and (-2,4)

what is the slope of the line? show your work
write the equation of the line in point-slope form. show your work
write the equation of the line in slope-intercept form. show your work.

Answers: 2

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Answer from: LForNotKnowingMath

slope of line = 2

equation of line in slope-intercept form is y = 2x - 7.

equation of line in point intercept form is 2x - y = 7.

Step-by-step explanation:

Point A $(x_{1} ,y_{1})$ = (8, 9)

Point A $(x_{2} ,y_{2})$ = (-2, 4)

Slope of line = $\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{4 -9}{-2 - 8} =\frac{- 5}{-10} = 2$

Equation of line in y intercept form is y = mx + c, where m is slope and c is y intercept

since m = 2 ∴ y = 2x + c

Now, Since line is passing through the point (8, 9) ∴ x = 8 and y = 9

y = 2x + c

By substituting the value of x and y

$9 = 2 \times 8 + c$

9 = 16 + c

c = 9 - 16 = -7

Therefore y intercept c = - 7

Therefore by substituting the value of c, the equation of line in slope intercept form is y = 2x - 7.

Now,

The equation of line in point-slope form:

= $( y -y_{1}) = m (x - x_{1})$

since line is passing through Point A $(x_{1} ,y_{1})$ = (8, 9) and slope of line is 2, ∴ substituting these values in above equation:

(y - 9) = 2 (x - 8)

y - 9 = 2x - 16

2x - y = 16 - 9

2x - y = 7

So the equation of line in point slope form is 2x - y = 7.

Answer from: xzavierjohnson425

$m=\frac{1}{2}\\\\y-9=\frac{1}{2}(x-8) \\y=\frac{x}{2}+5$

Step-by-step explanation:

Hello, I can help you with this.

The slope of a line is a number that measures its "steepness", . It is the change in y for a unit change in x along the line.it is denoted by the letter m and it is given by

$P1(x_{1},y_{1} )\\ P2(x_{2},y_{2} )\\\\m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

where P1 and P2 are two known points of the line.

Step 1

What is the slope of the line?

Let

P1(8,9)

P2(-2,4)

put the values into the equation

$m=\frac{4-9}{-2-8}\\m=\frac{-5}{-10} \\m=\frac{1}{2}$

so the slope is 1/2

Step 2

Write the equation of the line in point-slope form.it is given by

$y-y_{0}=m(x-x_{0})\\$

where the coordinates of the point are known and the slope

to find this, we need a point , and the slope

Let

slope= 1/2

P=P1

$P1=(8,9)\\x_{0}=8\\y_{0}=9\\y-9=\frac{1}{2}(x-8)\\$

Step 3

Write the equation of the line in slope-intercept form, to do this, do the operations and solve for y

$y-9=\frac{1}{2}(x-8)\\\\\\y-9=\frac{x}{2}-\frac{8}{2}\\ y=\frac{x}{2}-\frac{8}{2}+9\\y=\frac{x}{2}+5$

Have a great day.

Answer from: Quest

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

Which statement is not true about the data shown by the box plot below?

Answer from: Quest

hi how are you doing today, if you need just ask me.

step-by-step explanation:

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Aline goes through the points (8,9) and (-2,4)

what is the slope of the line? show your...

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