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The graph of the line passing through the points (6,7) and (4,2) has a slope of?

Sagot :

slope = (y2 - y1) / (x2 - x1)
when given the points (x1, y1) and (x2, y2)

so we can get
slope = (7 - 2) / (6 - 4) = 5 / 2

slope = 5/2  ,  2 1/2 , or 2.5
[tex] \frac{ y_{2} - y^{1} }{ x^{2} - x^{1}} [/tex]

[tex] \frac{2 - 7}{4 - 6} [/tex]

[tex] \frac{-5}{-2} [/tex]

[tex] \frac{5}{2} [/tex]

[tex]2\frac{1}{2} [/tex]

[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 7 = 2\frac{1}{2}(x - 6) [/tex]
[tex]y - 7 = 2 \frac{1}{2}x - 15 [/tex]
[tex]y - 7 + 7 = 2\frac{1}{2}x - 15 + 7[/tex]
[tex]y = 2 \frac{1}{2}x - 8 [/tex]