Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.
y<x+1 can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)
x-4y <=4
again, ignore the constants and simplify to
x-y<0 or
y>x so the valid part is ABOVE the line (since y>)
There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.
For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.
As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.
Answer:
y=(1/3)x+5
Step-by-step explanation:
Slope-intercept: y=mx+b
m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)
y=(1/3)x+b
plug in one of the points (3,6)
6=(1/3)(3)+b
6=1+b 5=b
