Does the point (2, 6) lie on the line that connects (1, 4) and (0, 3)? Explain.
1 answer:
Answer:
The point does not lie on the line
Step-by-step explanation:
Find the slope of the equation with rise/run
This gets you -1/-1 = 1
The equation will be y = x + 3, given the y intercept at (0, 3)
Plug in the point (2, 6) to see if it works in the equation
6 = 2 +3
6 5
The point does not lie on the line
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ANSWERS
(5) Graph:
(6) Solutions: (-1, -5) and (-2, -7)
Not solutions: (1, 1) and (-4, -3)
EXPLANATION
(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.
The first inequality is y < -3x-4,
The second inequality is y < 2x - 1,
The graph of the system is the area shared by both graphs,
(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.
On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions
