Answer:
None of the answers is consistent with the graph.
Step-by-step explanation:
The slope-intercept format of an equation is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x is zero)
See the attached graph.
1) Line MN has the form of y = (1/3)x -(2/3)
We are told the slope of MN is (1/3). We also see that it intersects the x axis at 2, so y = 0 at x = 2 (2.0). Use this to find b, the y-intercept.
y = (1/3)x + b
0 = (1/3)*2 + b
b = -(2/3)
Line MN is: y = (1/3)x - (2/3)
2) The line perpendicular to MN will have a slope that is the negative inverse of the reference line. The negative inverse of (1/3) is -3. Thuis line will have the form y = -3x + b. We can find b by using the same point as aboove (where the 2 lines intersect), (2,0).
y = -3x + b
0 = -3*2 + b
b = 6
The new line has the form: y = -3x + 6
The answer options are all plotted, but none appear in the region marked "W" on the graph.
