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# a. Make an equation of the line that goes through the points A (2, 10) and B (8, -2).

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a. Make an equation of the line that goes through the points A (2, 10) and B (8, -2).

b. Also make an equation of the line that goes through the points P (-3, 8) and (13, 0) and show that you could also write this equation as x + 2y = 13

May 29, 2019

#1
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You are given two points on the line....remember how to find slope?

slope = m = rise/run = (y1-y2) / (x1-x2)     so slope = (10- -2)/(2-8) = 12/-6 = -2

Remember the equation of a line ?    y = m x + b

your line will start to look like    y = (-2) x + b        substitue one of the x,y points given to calculate 'b'

10 = (-2)(2) + b          so b = 14

the equation of the line is then  y = -2x + 14

b)  do the same methodology for these two given points......let me know what you find !

May 29, 2019
edited by ElectricPavlov  May 29, 2019

#1
+23681
0

You are given two points on the line....remember how to find slope?

slope = m = rise/run = (y1-y2) / (x1-x2)     so slope = (10- -2)/(2-8) = 12/-6 = -2

Remember the equation of a line ?    y = m x + b

your line will start to look like    y = (-2) x + b        substitue one of the x,y points given to calculate 'b'

10 = (-2)(2) + b          so b = 14

the equation of the line is then  y = -2x + 14

b)  do the same methodology for these two given points......let me know what you find !

ElectricPavlov May 29, 2019
edited by ElectricPavlov  May 29, 2019