Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin o
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Step-by-step explanation:
Answer:
(x, y) = (-1, 4), (2, -1), (5, -6)
Step-by-step explanation:
You can choose any value you like for either x or y, then solve for the other value. I like to plot points with integer coefficients, so I would look for sets of those.
The nature of this equation is that it will have integer solutions with x-values spaced 3 apart and y-values spaced 5 apart. (The spacing of each corresponds to the coefficient of the other.) So, the trick is to find an x-value that gives an integer solution for y. (You will need to try at most 3 consecutive integers.)
Solving the equation for y, we get ...
y = -5/3x +7/3
Right away, we know that x=0 will not give an integer solution for y. Nor does x=1. The third consecutive integer that is easy to try is x = -1, so ...
y = (-5/3)(-1) +7/3 = (5+7)/3 = 4 . . . . an integer value for y
Our first point is then (x, y) = (-1, 4).
Since the slope is negative, we know that increasing x will decrease y. Thus we can simply add (3, -5) to any point to get another point on the line.
Two more points on the line are ...
(-1, 4) +(3, -5) = (2, -1)
(2, -1) +(3, -5) = (5, -6)
Three integer-valued points on this line are (-1, 4), (2, -1), (5, -6).
The slope-intercept form of the graph is .
Solution:
Let us take any point on the straight line.
Here, we take (–8, 0) and (0, 4).
Let us first find the slope of the line.
Slope of the line formula:
Slope-intercept form:
Hence the slope-intercept form of the graph is .