U have a solid line...meaning there is an equal sign in the problem
u have a y int of -1 (the y int is where ur line crosses the y axis)
u have a slope of : 1
it is shaded below the line...so it is less then
so ur inequality is : y < = x - 1 <==
You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.
A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
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In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
A triangle where one angle measures 90 degrees and another angle measures 100 degrees because a triangle has three angles that add up to 180 degrees and when you add these two together it’s already over 180.
L, A, B = the amount of money each person has.
L + A + B = 70
B = 3L
L = A +5 or A = L-5
Set up an equation in L only:
L + L - 5 +3L =70
5L -5 = 70
5L =75
L = 15
follows
B=3*15 =45
A = 15 - 5 = 10
