Answer:
y = - x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = - x - 3 ← equation of perpendicular line
Answer:
Step-by-step explanation:
we know that
Is the equation of a vertical parabola written in vertex form
where
(h,k) is the vertex
a is the leading coefficient
In this problem we have
The vertex is the point (-1,4)
so
substitute
Find the value of a
we have the ordered pair (0,3)
substitute the value of x and the value of y in the quadratic equation and solve for a
therefore