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points (-2,1) and (3,y) have a slope of -3. find the y coordinate of the point

Sagot :

y coordinate of the point​ is -14

Explanation:

Slope = change in y/change in x

[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = -3} \end{gathered}[/tex]

Since m is negative, it means the slope is negative.

[tex]\begin{gathered} It\text{ also means the 2nd y value will be smaller than the 1st y value to get negative slope} \\ x_1=-2,y_1=1,x_2=3,y_2\text{ = y} \\ m\text{ = }\frac{y-1}{3-(-2)} \end{gathered}[/tex][tex]\begin{gathered} -3\text{ = }\frac{y-1}{3+2} \\ -3\text{ = }\frac{y-1}{5} \\ -3(5)\text{ = y - 1} \\ -15\text{ = y - 1} \\ \end{gathered}[/tex][tex]\begin{gathered} -15\text{ + 1 = y} \\ y\text{ = -14} \\ y\text{ coordinate of the point is -14} \end{gathered}[/tex]