Complete the equation of the line through (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis and (5,-8)(5,−8)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

where two points that fall on the line are and

Plug in the points (2,1) and (5,-8):

Therefore, the slope of the line is -3. Plug this into   as m:

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b:

Therefore, the y-intercept is 7. Plug this back into :

I hope this helps!

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step-by-step explanation:

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