Answer:
m < 1 = 72
Step-by-step explanation:
Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.
In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.
Therefore, m < 3 = m < 1, and since it's given that m < 3 = 72, we know that m < 1 = 72 too.
We can already eliminate B and D since y is greater than everything else in this inequality. The -2 in the equation is where the y-intercept is, and the origin is when a line hits 0,0 on the grid. Knowing that, what would be your answer?
Answer:
y = -x/2 + 1/2 or
y = -1/2 x + 1/2
(these are equivalent)
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
So we have to get the y all by itself on the left.
2y + x = 1
Subtract x from both sides.
2y = 1 - x
Divide both sides by 2. Divide all the terms by 2.
2y/2 = 1/2 - x/2
Simplify.
y = 1/2 - x/2
Rearrange the terms on the right side so that the x term is first and the constant is last.
y = -x/2 + 1/2
I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:
y = -1/2 x + 1/2
Basically anything greater than zero...k>0
