m=3;(3,-5)

Question

write the equation of a line in slope -intercept form with the given slope that passes through the given point m=3; (3,-5)

Answer 1

Mary,

 

Use the point-slope form, y − y₁ = m(x − x₁):

 

y − (−5) = 3(x − 3),

 

then simplify and rewrite in the slope-intercept form, y = mx + b.

 

y + 5 = 3x − 9

 

y = 3x − 14

 

is the correct slope-intercept form.

 

(You can do this without the first equation, though it is useful. Reply back if you want to see it done.)

Answer 2

The slope-intercept form of the equation of a line is y=mx+b.

 

Given: m=3

 

Use the point (3,-5) to determine b:

      y  = mx + b

     -5 = 3(3) + b

     -14=b

The equation is:  y = 3x-14