Write the equation of the line through the points: (-3,16) (12,4)

m = (16-4)/(-3-12) = -4/5,

-4/5 = (y-4)/(x-12),

y = (-4/5)x + (68/5)

Write the equation of the line through the points: (-3,16) (12,4)

Tutors, please sign in to answer this question.

m = (16-4)/(-3-12) = -4/5,

-4/5 = (y-4)/(x-12),

y = (-4/5)x + (68/5)

The first thing that you need to do to find the equation is find the slope of the line.

The equation for slope is: m = (y_{2} - y_{1})/(x_{2} - x_{1})

m = (4 -16))/(12 - (-3)) Substitute the values from the points into the slope formula

m = -12/15 Simplify

m = -4/5 Reduce the fraction

Once you have the slope, you can use the point-slope formula to find the equation.

The point slope formula is y - y_{1} = m(x - x_{1})

I am going to substitute the first point, but you will get the same answer with either point.

y - 16 = -4/5(x - (-3)) Point-slope formula with 1st point and slope substituted

y - 16 = (-4/5)x - 12/5 Distribute the -5/4

y = (-4/5)x - 12/5 + 16 Add 16 to each side

y = (-4/5)x -12/5 + 80/5 Find the common denominator to add fractions

y = (-4/5)x + 68/5 Simplify

Gilant P.

Miss Gil: Cares & Gets Results - Regents, SAT & NYS ELA & Math Exams

Jamaica, NY

4.8
(1404 ratings)

Jimmy C.

Latin Tutor specializing in grammar, syntax, and translation.

Malverne, NY

5.0
(46 ratings)

Avital S.

Patient tutor, for all ages, helps when your learning is blocked

Westwood, NJ

5.0
(482 ratings)

## Comments

Oops... I think you meant to say that the slope m = rise over run, or (y2-y1)/(x2-x1)

Thanks for correcting me on that.