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What is the equation in slope-intercept form of the line that passes through the points (12, -34) and (10, -28)?

Sagot :

Answer:

 [tex]y=-2x+2[/tex]

Step-by-step explanation:

1) Determine Slope

[tex]\frac{y_2-y_1}{x_2-x1}[/tex] = [tex]\frac{-28-(-34)}{10-12}[/tex] = [tex]\frac{6}{-2}[/tex] = -3

2) Use point slope form to create equation

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-28)=-3(x-10)[/tex]

[tex]y+28=-2x+30[/tex]

[tex]y=-2x+2[/tex]