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Answer: a. the slope is -2/5 and the y-intercept is -1/3
Step-by-step explanation:
Find the slope by finding the difference in x-values divided by the difference in y-values
(1/4 ,-13/30) and (-3/4, -1/30) are useful values
-13/30 --1/30 = -12/30 = -2/5 is the rise
-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)
the slope is -2/5
To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b
y= mx + b
-3/5 = (-2/5)(2/3) + b
-9/15 + 4/15 = b
-5/15 = b
-1/3 = b This is the y-intercept
Screenshot below of graph illustrates this solution
