Answer:
the x intercept is -2
Step-by-step explanation:
3(y-1)=y-11
Distribute:
3y - 1 = y- 11
Add 11 to both sides
3y - 12 = y
subtract 3y on both sides
-12 = -2y
Divide by 2y
y= 6
C, if there is an odd number of negatives it is negative, if there is an even number it is positive
To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph-
draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because
the solution does not include the points in the line.
- the solution is the
region above and to the left of the dotted line.
4) See the
figure attached for better visualization: the pink region is the solution of the inequality.