Well.. You seem to have forgotten to add the coordinates...
Anyway, the line is represented by the function f(x) = 3x .
Any point which follows the form (x,3x) will be on the line
for example (-3,-9) ; (-2,-6) ; (-1,-3) ; (0,0) ; (0.333333,1) ; (1, 3) ; (2,6) ; (3,9) ; and so on....
Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.
Answer:
q = 7p
Step-by-step explanation:
given q is directly proportional to p then the equation relating them is
q = kp ← k is the constant of proportion
To find k use the condition q = 28 when p = 4 , then
28 = 4k ( divide both sides by 4 )
7 = k
q = 7p ← equation of proportion
Answer:
19.8
Step-by-step explanation:
3x6.6
Answer:
see below
Step-by-step explanation:
(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.
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(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)
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<em>About how</em>
As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.