Answer:
[tex]y-4=-2(x-0)[/tex]
Step-by-step explanation:
Pre-Solving
We are given that a line has a slope (m) of -2, and contains the point (0,4).
We want to write the equation of the line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.
Solving
Since we are already given the slope, we can immediately plug it into the formula.
Substitute -2 as m.
[tex]y-y_1=-2(x-x_1)[/tex]
Now, let's label the values of our points to avoid confusion and mistakes.
[tex]x_1=0\\y_1=4\\[/tex]
Substitute into the formula.
[tex]y-4=-2(x-0)[/tex]
Topic: point-slope form
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