Find the equation of the line passing through the points (0,7) and (5,-3).
1 answer:
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = =
= - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
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The correct answer is b), or x² = -12y.
Explanation:
This equation may be written in standard form as
The coefficient in front of x² is negative so the curve is downward.
The vertex has coordinates (0,0).
The vertex is equidistant from the directrix and the focus, so the focus is (0, -3).
Explanation:
This equation may be written in standard form as
The coefficient in front of x² is negative so the curve is downward.
The vertex has coordinates (0,0).
The vertex is equidistant from the directrix and the focus, so the focus is (0, -3).