SOLUTION: 20. A line passes through (7, –6) and (8, –5). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers. (2 points)

Algebra ->  Linear-equations -> SOLUTION: 20. A line passes through (7, –6) and (8, –5). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers. (2 points)      Log On


   



Question 528871: 20. A line passes through (7, –6) and (8, –5).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers. (2 points)

Answer by solver91311(24713) About Me  (Show Source):
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Use the two point form of an equation:



where and are the coordinates of the given points.

Then do the arithmetic to calculate the slope portion of the form: resulting in your equation being in the point-slope form:



After that, perform the necessary manipulations to put your equation into Standard form, namely:



Multiply through by any fraction denominators to ensure that all of the coefficients are integers. Not absolutely necessary, but a good idea for neatness sake: If the lead coefficient (the coefficient on ) is negative, multiply through by

John

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