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Sagot :

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Answer:

Equation of line : y - y1 = m(x - x1)

where x and y are are the point in form

(x , y)

where m is the slope.

Calculate slope using points:

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ 5 - 2}{ - 3 - 6} [/tex]

[tex]m = - \frac{1}{3} [/tex]

Sub points into slope point formula:

[tex]y = - \frac{1}{3} x + c[/tex]

sub 1 point for x and y:

[tex]5 = - \frac{1}{3} ( - 3) + c[/tex]

solve for c:

5 = 1 + c

c = 4

sub c back into equation :

[tex]y = - \frac{1}{3} x + 4[/tex]

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