The slope is=

The y-intercept is =

d. Find the slope and the y-intercept for the line that passes through (-8,-11) (4,6)

The slope is =

The y-intercept is =

Find the slope and the y-intercept for the line that passes through (-8,2) (11,4)

The slope is=

The y-intercept is =

d. Find the slope and the y-intercept for the line that passes through (-8,-11) (4,6)

The slope is =

The y-intercept is =

The slope is=

The y-intercept is =

d. Find the slope and the y-intercept for the line that passes through (-8,-11) (4,6)

The slope is =

The y-intercept is =

Tutors, sign in to answer this question.

Hi Mik;

The slope is the change-of-y divided by the change-of-x, also known as rise-over-run...

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

m=(2-4)/(-8-11)

m=(-2)/(-19)

m=2/19

The slope-intercept formula is...

y=mx+b

b is the y-intercept, the value of y when x=0.

y=(2/19)x+b

Let's plug-in one set of coordinates...

2=(2/19)(-8)+b

2=-16/19+b

Let's add 16/19 to both sides of the equation...

(16/19)+2=(-16/19)+b+(16/19)

2 16/19=b

Let's check our results with the other set of coordinates...

y=(2/19)x+b

4=(2/19)(11)+b

4=(22/19)+b

4=(1 3/19) +b

Let's subtract 1 3/19 from both sides...

2 16/19=b

m=(y-y

m=(-11-6)/(-8-4)

m=(-17)/(-12)

m=(17)/(12)

m=1 5/12

m=(1 5/12)x+b

m=(17/12)x+b

Let's plug-in one set of coordinates to establish b, the y-intercept.

y=mx+b

-11=(17/12)(-8)+b

-11=-(136/12)+b

-11=-(11 4/12)+b

-11=(-11 1/3)+b

Let's add 11 1/3 to both sides...

1/3=b

Other coordinates...

y=mx+b

y=(1 5/12)x+b

6=(1 5/12)(4)+b

6=(17/12)(4)+b

6=(68/12)+b

6=(34/6)+b

6=(17/3)+b

6=(5 2/3)+b

1/3=b

points (-8,2) and (11,4)

y=mx+b

slope= rise/run

slope=(4-2)/[11-(-8)]

slope=2/19

y=(2/19)x+b

y-y1=m(x-x1) is called the point-slope form of the equation of the line

using either point:

y-4=(2/19)(x-11)

y-4=(2/19)x-(22/19)

y=(2/19)x+4-(22/19)

y=(2/19)x+(54/19)

or

y-2=(2/19)(x+8)

y=(2/19)x+(16/19)+2

y=(2/19)x+(54/19)

slope=(2/19) and y-intercept=(54/19)

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Points ( -8, 2) , ( 11, 4)

Another Merthod will be:

2 = -8m +b

4 = 11m + b

Solving this system of equation:

Subtracting first from the second:

2 = 19 m m= 2/19

Substitution in 2nd equation:

4 = 11( 2/19) +b

b = 76/19- 22/19 = 54/19

Y = 2/19 X + 54/19

The important thing is to realize that all these methods stem from the same principle, and diversity in

math gives us a chance to use every one of these features in more advanced courses.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Gary M.

Experienced, patient math tutor who can help YOU!

$10 per 15 min

View Profile >

Milton Rafael N.

Math, ACT, GRE, SAT, ASVAB,TEAS, Engineering, Spanish & more

$8.75 per 15 min

View Profile >

Aaron L.

Math, English, Test Prep, Chess, Proofreading ($32/hr Online Sessions)

$9.50 per 15 min

View Profile >