(Given two points) For All Equations Write The Equation of the line, In Standard Form, Using the Following Information:

Question

Also, for both equations, could you not use mixed numerals and Simplify as much as possible?

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Point 1: (5, -7)

Point 2: (-1, 2)

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Point 1: (-5, -5)

Point 2: (5, -3)

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Point 1: (0, 3)

Point 2: (3, 0)

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Point 1: (-5, 0)

Point 2: (0, -8)

Answer 1

y = -1.5x + 0.5

y = 0.2x - 4

y = -x + 3

y = -8/3x - 8

Answer 2

These are all done the same way. Let's do the first one as an example and you can repeat the process for the remaining problems.

The standard form for the equation of a line is ax + by = c

Point 1: (5, -7)

Point 2: (-1, 2)

The slope is change in y over change in x = (2 --7)/(-1-5) = 9/-6 = -3/2

First write equation in point-slope form: y - y1 = m(x -x1), where m = -3/2 is the slope and choosing either point 1 or point 2 for (x1,y1).

Let's choose point 1, so x1 = 5 and y1 = -7,

y --7 = -3/2 (x - 5)

y + 7 = -3/2 x + 15/2 (simplify and distribute)

2y + 14 = -3x + 15 (eliminate denominator by multiplying both sides by 2)

3x + 2y = 1