SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Passing through (-5, -3) and (-3, -8)

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Passing through (-5, -3) and (-3, -8)       Log On


   

Question 1176537: Use the given conditions to write an equation for the line in point-slope form.
Passing through (-5, -3) and (-3, -8)

Found 3 solutions by ewatrrr, Solver92311, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the standard slope-intercept form for an equation of a line is:
 y+=+highlight_green%28m%29x+%2B+highlight%28b%29  where m is the slope and b the y-intercept.  
(-5, -3) and 
(-3, -8)  m = 5/-2 = (-5/2)

***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
 y + 8 = (-5/2)(x + 3)
     y = (-5/2)x - 15/2 - 16/2
     y = (-5/2)x  - 31/2

Wish You the Best in your Studies.

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Use the slope formula to calculate :



Then use the point-slope form:



John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Point-slope is the general form y-y%E2%82%81=m%28x-x%E2%82%81%29+for linear equations.
given:
Passing through (-5, -3) and (-3, -8)
find a slope first:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-8-%28-3%29%29%2F%28-3-%28-5%29%29
m=%28-8%2B3%29%2F%28-3%2B5%29
m=-5%2F2

y-y%E2%82%81=-%285%2F2%29%28x-x%E2%82%81%29+..........use one point
y-%28-3%29=-%285%2F2%29%28x-%28-5%29%29+
y%2B3=-%285%2F2%29%28x%2B5%29+
y%2B3=-%285%2F2%29x-%285%2F2%295+
y=-%285%2F2%29x-25%2F2-3+
y=-%285%2F2%29x-25%2F2-6%2F2+
y=-%285%2F2%29x-31%2F2+