SOLUTION: Directions: Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C. Problem: (2,3) and (-1,-1) I got this far then I got l

Algebra ->  Linear-equations -> SOLUTION: Directions: Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C. Problem: (2,3) and (-1,-1) I got this far then I got l      Log On


   



Question 885044: Directions: Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C.
Problem: (2,3) and (-1,-1)
I got this far then I got lost: (2,3) and (-1, -1)
M= -1-3/-1-2 = 4/3
y-3=4/3(x-2)

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The strategy you chose appears a good one: Find slope and use point-slope equation form.

m for slope.
m=%283-%28-1%29%29%2F%282-%28-1%29%29=%283%2B1%29%2F%282%2B1%29
m=4%2F3

Pick either point and fill into y-v=m%28x-u%29 for whichever point (u,v) you want. You picked (2,3).
Point-Slope Form: highlight_green%28y-3=%284%2F3%29%28x-2%29%29.

Why did you not continue? You want the equation in standard form.
y-v=m%28x-u%29
y-v=mx-mu
mx-mu=y-v
mx-y-mu=-v
mx-y=mu-v, a generalization of standard form. The number properties applied are assumed understood.
Notice the left member is an expression linear in x and y, and the right member expression is a constant. The slope is a rational number and you may need to use multiplicative inverse property to make the equation in its simplest form.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Directions: Find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C.
Problem: (2,3) and (-1,-1)
I got this far then I got lost: (2,3) and (-1, -1)
M= -1-3/-1-2 = 4/3
y-3=4/3(x-2)

y+-+3+=+%284%2F3%29%28x+-+2%29
y+-+3+=+%284%2F3%29x+-+8%2F3
y+-+3+=+4x%2F3+-+8%2F3
3y+-+9+=+4x+-+8 ------- Multiplying by LCD, 3
3y+-+9+%2B+8+=+4x%29
highlight_green%28highlight_green%284x+-+3y+=+-+1%29%29