SOLUTION: you are given the following info about a line (0,-3) and (-3,-6).using this info solve for the slope (m) and the y-intercept(b) you are given one coordinate point (1,4) and the

Algebra ->  Graphs -> SOLUTION: you are given the following info about a line (0,-3) and (-3,-6).using this info solve for the slope (m) and the y-intercept(b) you are given one coordinate point (1,4) and the       Log On


   

Question 90055: you are given the following info about a line (0,-3) and (-3,-6).using this info solve for the slope (m) and the y-intercept(b)
you are given one coordinate point (1,4) and the slope of 2/3 solve for the y-intercept
thanks...this question is from a work sheet
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
points (0,-3) & (-3,-6) define a line as follows:
the slope(m)=(-6+3)/(-5-0)=3/-5 or -3/5
now we substitute one set of points & the -3/5 slope value & solve for the y intercept(b)
-3=-3/5*0+b
-3=b this is the y intercept.
thus the line formula is: y=-3x/5-3 (red line)
--------------------------------------------------------
4=(2/3)*1+b
4=2/3+b
b=4-2/3
b=3 1/3 or 10/3. for the y intercept.
y=2x/3+10/3 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F5+-3%2C+y+=+2x%2F3+%2B10%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -3x/5 -3 and y = 2x/3 +10/3).