Question 6
y = 3/4 x + 2
y = -1/4 x + 4
3/4 x + 2 = -1/4 x + 4
x = 2
y = 3/4 * 2 + 2
y = 6/4 + 2
y = 1.5 + 2
y = 3.5
Answer: D. (2, 3.5)
Question 8
For two lines to be perpendicular, the product of their slopes must be -1.
The first line has slope 3. The second line has slope -3.
3 * (-3) = -9
Since the product of the slopes is -9, not -1, the lines are not perpendicular.
Answer: No
Question 9
Answer: Yes
x = -3 is a vertical line that goes through the point -3 on the x-axis.
4th Question
The graph does show (0, -2) as a point on the line. (0, -2) is the correct y-intercept. Since the slope is 3, starting at (0, -2), go up 3 and right 1 to get to point (1, 1). Point (1, 1) is on the graph, so the answer is yes.
Answer: Yes
5th Question
I don't know what the question is, but the statement is true.