1.y<=1-3x, the slope is the number with x so -3, and the y intecept is the lone number so -1 becuase the symbol includes equal to, the graph would have a solid line that passes through (0,1) and since it is also less than the shaded region would be below the line so the answer is D
2. -1x2 = -2 +-1 = -3 which is greater than -3, the answer is A
3. y-2x =-3, -1 - 2(1) = -1-2 = -3 this is less than or equal to -3. Answer is D
4 the symbol is greater than or equal to, so it would be a solid line with the shaded portion to the right of the line, Answer is A
5. the symbol is just greater than so the line would be dotted and the answer is negative (-6) so the shaded are would be to the left of the dotted line, the answer is D
bearing in mind that lines with an undefined slopes are vertical lines, Check the picture below.
First you need to find the y-intercept, which is y = -1
Next is we need to find the slope of the line > you are going to have to do this by finding to clear point
The ones that I will be using are: (3, 1); (6, 3) (You could take any points)
Now using the slope formula we could find m.
m = y2-y1 / x2-x1
(1 - 3) / (3 - 6) = m
-2 / -3 = m
m = 2/3
Using the linear function format: y = mx + b
Therefore the equation of the line is y = 2x/3 -1
