Respuesta :

Step-by-step explanation:

The line

[tex]y = -3x + 3[/tex]

Is in point Slope form. This means the Slope and the y intercept are visible in the equation 9f the form

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

Where m is the Slope of the line and b is the y coordinate of the y intercept.

To determine the y intercept, assume x = 0, then - 3x = 0, so y = 3 and x = 0 (0,3}

From that point you can find the next point by choosing a value for x in the given equation to find a corresponding y.

Substitute 1 for x and get 0 for y, (1,0)

Substitue 2 for x and get - 3 for y, (2,-3)

To answer the questions use the supplied coordinates in the original equation.

#1. (-1,6)

[tex]6 = - 3( - 1) + 3[/tex]

[tex]6 = 3 + 3[/tex]

This is a true statement, so the line does pass through this point.

#2 (12,-33)

[tex] - 33 = - 3(12) + 3[/tex]

[tex] - 33 = - 36 + 3[/tex]

Again, the statement is true, so the line passes through the point.

#3 (2,9)

[tex]9 = - 3(2) + 3[/tex]

[tex]9 = - 6 + 3[/tex]

This is a false {untrue} statement, so the point does not sit on the line.

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