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 1.)  y = 1/5 x - 3/5

2.) y = -2x + 10

Step-by-step explanation:

1.)  Keep the same slope. Substitute the y and x-values from the given coordinate into the slope-intercept form and solve for the new b

1 = 1/5(8) + b    1 = 8/5 +b .subtract  8/5 form both sides:

-3/5 = b

y = 1/5 x - 3/5

2.) Rewrite the given equation in slope-intercept form

-x + 2y = 10  becomes y= 1/2 x +10

Take the reciprocal of the slope and reverse the sign:  1/2 becomes -2

Substitute the y and x-values from the given coordinate into the slope-intercept equation and solve for b.

-2 = -2(6) + b

-2 = -12 + b   Add +12 to both sides

10 = b

y = -2x + 10   Standard form: 2x + y = 10

Attachment shows the graphs and coordinates.

step-by-step explanation: