the graph of liner function f passes through the point (1,-9) ad has a slope of -3 what is the zero of f
1 answer:
You might be interested in
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B