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16) through: (1, 1) and (2,-4)


Sagot :

Answer:

y= -5x + 6

Step-by-step explanation:

Answer:

Equation of line in Slope intercept form

[tex]y=-5x+6[/tex]

Equation of line in Point-slope form

[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]

Step-by-step explanation:

Equation of line

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]   ----------- (1)

Here

[tex](x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)[/tex]

Substituting values in equation (1)

[tex]y-1=\frac{-4-1}{2-1} (x-1)[/tex]

[tex]y-1=-5 (x-1)[/tex]     (This is equation line in point-slope form)

Simplifying it further

[tex]y=-5x+5+1[/tex]

[tex]y=-5x+6[/tex]  (This is equation of line in slope-intercept form)