SOLUTION: determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (-2,0) with slope -3/4. (the negative sign nex

Algebra ->  Graphs -> SOLUTION: determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (-2,0) with slope -3/4. (the negative sign nex      Log On


   



Question 98112: determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
The line through (-2,0) with slope -3/4. (the negative sign next to the 3/4 is in the middle of the 3 and 4 next to the divide line)

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE LINE FORMULA IS [Y=mX+b} WHERE (m)=SLOPE & (b)=THE Y INTERCEPT.
NOW SUBSTITUTE THE X (-2) & Y (0) VALUES & THE SLOPE (-3/4) & SOLVE FOR (b) THE Y INTERCEPT.
0=-3/4*-2+b
0=6/4+b
b=-6/4
b=-1.5 WHICH IS THE Y INTERCEPT.
THUS THE EQUATION IS:
Y=-3X/4-1.5
SO WE NOW HAVE 2 POINTS (0,-1.5) & (-2,0) & A SLOPE OF (-3/4)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F4+-1.5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/4 -1.5).