chavice
18.07.2019 •
Mathematics
What is the equation of the line shown in the graph? a function graph of a line with two points (-3,-2) and (-1,2) with an x axis of negative five to five and a y axis of negative five to five drag and drop the expressions to write the equation of the line in slope-intercept form. y = _ + _ 阿ㄐ高
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Ответ:
My Work:
Say that the slop is "a" and that the y-intercept is "b".
For the slope:
First coordinate equation: -3=-2a+b
Second coordinate equation: -1=2a+b
Combine the equations. -3-(-1)=-2a-(2a)+b-(b)
Break down the parenthesis. -3+1=-2a-2a+b-b
Simplify the equation. -2=-4a
Divide both sides by -4 to get the answer to the slope. a=1/2
For the y-intercept:
Use the second coordinate's equation and the now known slope. -3=-2*1/2+b
Multiply -2 by 1/2 (Order of Operations). -3=-1+b
Add +1 to both sides to cancel the -1. -3+1=b
Finally, solve the solve -3+1 to get the answer to the y-intercept. b=-2
Ответ: