Can any equation in point-slope form also be written in slope-intercept form?
1 answer:
Answer:
Yes
Step-by-step explanation:
The way the equation is written in point-slope form is:
The way we write an equation in slope-intercept form is:
We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:
where
which is now in slope intercept form.
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Answer:
Put 4 in the place of x then you'll get
A(−3,−2), B(−2,2), C(2,−2)
The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular is the altitude through B.
Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):
For the y coordinate of the orthocenter we substitute in x=-2.
So the orthocenter is (x,y)=(-2,-1)
Answer: (-2,-1)