LARRY W. answered 09/15/15
Tutor
New to Wyzant
I have been a MATH tutor for over 45 years - Algebra I & II, Geom.
to determine the slope of the line that passes through both given points, remember that slope is the difference of y values divided by the difference of x values. So the slope of the line is 6 - 7 divided by -3 - -6. so your slope is -1/-3+6 which equals +3. So the slope is -1/3. None of the answers include the correct value for m in y=mx+b. To find the y intercept, which is the value of b in y=mx+b, calculate as follows: Use one of the points so that (x, y) ends up helping to explain the equation. So, in y+mx+b form, lets use the point (-6,7): Substitute the values of the point into the equation like so: 7 = -1/3 (-6) + b. 7=2+b. so, be = 5. so the final equation for the line that would pass th-1/3rough those given points would be y=-1/3 x + 5. Answer B is close, but it does not show a numerical value for slope before the x in the equation. I hope this helps. The magic of y=mx+b is wonderful.