tristanohand50
Answered

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Write the equation of a line in point-slope form that passes through the points 1, -7 6, -4

Sagot :

GDKmartinez

Answer:

[tex]y = \frac{3}{5} x - \frac{38}{5} [/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

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

[tex]m = \frac{ - 4 - - 7}{6 - 1} [/tex]

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

substitute any coordinate pair into y= mx + b

I chose (1,-7)

[tex] - 7 = \frac{3}{5} \: (1)+ b[/tex]

[tex]b = - 7 - \frac{3}{5} [/tex]

[tex]b = - \frac{38}{5} [/tex]

[tex]y = \frac{3}{5} x - \frac{38}{5} [/tex]

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