Option D: [tex]y-7=2(x+1)[/tex] is the equation of line in point - slope form
Explanation:
Given that the slope is [tex]m=2[/tex] and the point [tex](-1,7)[/tex]
We need to determine the equation of the line in point - slope form.
The point - slope form can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Let us substitute the point [tex](-1,7)[/tex] and the slope [tex]m=2[/tex] in the above formula.
Thus, we have,
[tex]y-7=2(x-(-1))[/tex]
Simplifying the terms, we get,
[tex]y-7=2(x+1)[/tex]
Thus, the equation of the line in point - slope form is [tex]y-7=2(x+1)[/tex]
Therefore, Option D is the correct answer.
