SOLUTION: Sorry, typed the e-mail wrong. Question: Determine the equation of each line. Write the answer in standard form using only intergers as the coefficient. #36 The line through (-2,

Algebra ->  Linear-equations -> SOLUTION: Sorry, typed the e-mail wrong. Question: Determine the equation of each line. Write the answer in standard form using only intergers as the coefficient. #36 The line through (-2,      Log On


   

Question 34801: Sorry, typed the e-mail wrong.
Question: Determine the equation of each line. Write the answer in standard form using only intergers as the coefficient.
#36 The line through (-2,0) with slope -3/4.
I tried. y=mx+b
y=-3/4x+-2/0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You started out ok with y = mx + b, and you substituted the slope correctly:
1) y+=+%28-3%2F4%29x+%2B+b
but now you need to determine the value of b, the y-intercept. You can do this by using the given point (-2, 0) through which the line passes. Substitute the x- and y-coordinates into equation 1) and solve for b.
0+=+%28-3%2F4%29%28-2%29+%2B+b
0+=+3%2F2+%2B+b Subtract 3/2 from both sides.
b+=+%28-3%2F2%29 Now substitute this value of b into equation 1)
y+=+%28-3%2F4%29x+-+3%2F2 Multiply through by 4 to clear the fractions.
4y+=+-3x+-+6 Now write in standard form.
3x+%2B+4y+=+-6