Answer:
Yes, it is enough
[tex]y = -3x + 16[/tex]
Step-by-step explanation:
Given
[tex]Point = (6, -2)[/tex]
[tex]m = -3[/tex]
Required
Is the given info enough to find the equation?
Yes, it is enough and the proof is as follows:
And equation is solved using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (6,-2)[/tex]
[tex]m = -3[/tex]
Substitute these values in [tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - (-2) = -3(x - 6)[/tex]
[tex]y +2 = -3(x - 6)[/tex]
Open bracket
[tex]y +2 = -3x + 18[/tex]
Make y the subject
[tex]y = -3x + 18-2[/tex]
[tex]y = -3x + 16[/tex]
From the above, one can see that the given info is enough
