The first equation can be written as y = mx + b, where m is the slope and b is the y-intercept.
Calculating the slope:
m = (5-4)/(8-(-6)) = 1/14
Now we can plug in the values for the slope and one of the points to find the y-intercept:
4 = (1/14)(-6) + b
4 = -6/14 + b
4 = -3/7 + b
b = 4 + 3/7
b = 31/7
Therefore, the equation is y = (1/14)x + 31/7.
Now let's do the same for the second equation:
m = (-4+5)/(7-(-7)) = 1/14
(Using the same process as above)
b = -4 + 7/2
b = -1/2
Therefore, the second equation is: y = (1/14)x - 1/2.
The two lines graft on the coordinate grid each represent an equation (-6,4), (8,5) and (-7,-5), (7,-4)
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